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Finding the Fourth Proportional to 10,663.62, 14,698.17 and 7,125.54

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Solution

The fourth proportional to 10,663.62, 14,698.17 and 7,125.54 is: 9,821.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.62 : 14,698.17 = 7,125.54 : x
  2. Step 2: Convert to fraction form
    10,663.62/14,698.17 = 7,125.54/x
  3. Step 3: Cross multiply
    10,663.62x = 14,698.17 × 7,125.54
  4. Step 4: Simplify right side
    10,663.62x = 104,732,398.26
  5. Step 5: Solve for x
    x = 104,732,398.26/10,663.62
  6. Step 6: Final answer
    x = 9,821.47

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