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Finding the Fourth Proportional to 10,663.98, 14,711.61 and 6,412.59

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Solution

The fourth proportional to 10,663.98, 14,711.61 and 6,412.59 is: 8,846.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.98 : 14,711.61 = 6,412.59 : x
  2. Step 2: Convert to fraction form
    10,663.98/14,711.61 = 6,412.59/x
  3. Step 3: Cross multiply
    10,663.98x = 14,711.61 × 6,412.59
  4. Step 4: Simplify right side
    10,663.98x = 94,339,523.17
  5. Step 5: Solve for x
    x = 94,339,523.17/10,663.98
  6. Step 6: Final answer
    x = 8,846.56

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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.