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Finding the Fourth Proportional to 10,562.64, 14,564.52 and 7,901.52

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Solution

The fourth proportional to 10,562.64, 14,564.52 and 7,901.52 is: 10,895.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.64 : 14,564.52 = 7,901.52 : x
  2. Step 2: Convert to fraction form
    10,562.64/14,564.52 = 7,901.52/x
  3. Step 3: Cross multiply
    10,562.64x = 14,564.52 × 7,901.52
  4. Step 4: Simplify right side
    10,562.64x = 115,081,846.07
  5. Step 5: Solve for x
    x = 115,081,846.07/10,562.64
  6. Step 6: Final answer
    x = 10,895.18

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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.