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Finding the Fourth Proportional to 10,610.98, 14,632.97 and 7,024.30

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Solution

The fourth proportional to 10,610.98, 14,632.97 and 7,024.30 is: 9,686.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610.98 : 14,632.97 = 7,024.30 : x
  2. Step 2: Convert to fraction form
    10,610.98/14,632.97 = 7,024.30/x
  3. Step 3: Cross multiply
    10,610.98x = 14,632.97 × 7,024.30
  4. Step 4: Simplify right side
    10,610.98x = 102,786,371.17
  5. Step 5: Solve for x
    x = 102,786,371.17/10,610.98
  6. Step 6: Final answer
    x = 9,686.79

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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.