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Finding the Fourth Proportional to 11,686.16, 17,527.80 and 4,760.72

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Solution

The fourth proportional to 11,686.16, 17,527.80 and 4,760.72 is: 7,140.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.16 : 17,527.80 = 4,760.72 : x
  2. Step 2: Convert to fraction form
    11,686.16/17,527.80 = 4,760.72/x
  3. Step 3: Cross multiply
    11,686.16x = 17,527.80 × 4,760.72
  4. Step 4: Simplify right side
    11,686.16x = 83,444,948.02
  5. Step 5: Solve for x
    x = 83,444,948.02/11,686.16
  6. Step 6: Final answer
    x = 7,140.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.