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Finding the Fourth Proportional to 11,573.20, 15,980.16 and 10,688.64

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Solution

The fourth proportional to 11,573.20, 15,980.16 and 10,688.64 is: 14,758.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573.20 : 15,980.16 = 10,688.64 : x
  2. Step 2: Convert to fraction form
    11,573.20/15,980.16 = 10,688.64/x
  3. Step 3: Cross multiply
    11,573.20x = 15,980.16 × 10,688.64
  4. Step 4: Simplify right side
    11,573.20x = 170,806,177.38
  5. Step 5: Solve for x
    x = 170,806,177.38/11,573.20
  6. Step 6: Final answer
    x = 14,758.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.