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Finding the Fourth Proportional to 10,558.64, 14,559 and 7,897.52

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Solution

The fourth proportional to 10,558.64, 14,559 and 7,897.52 is: 10,889.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,558.64 : 14,559 = 7,897.52 : x
  2. Step 2: Convert to fraction form
    10,558.64/14,559 = 7,897.52/x
  3. Step 3: Cross multiply
    10,558.64x = 14,559 × 7,897.52
  4. Step 4: Simplify right side
    10,558.64x = 114,979,993.68
  5. Step 5: Solve for x
    x = 114,979,993.68/10,558.64
  6. Step 6: Final answer
    x = 10,889.66

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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.