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Finding the Fourth Proportional to 10,624.16, 14,663.76 and 6,891.68

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Solution

The fourth proportional to 10,624.16, 14,663.76 and 6,891.68 is: 9,512.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624.16 : 14,663.76 = 6,891.68 : x
  2. Step 2: Convert to fraction form
    10,624.16/14,663.76 = 6,891.68/x
  3. Step 3: Cross multiply
    10,624.16x = 14,663.76 × 6,891.68
  4. Step 4: Simplify right side
    10,624.16x = 101,057,941.52
  5. Step 5: Solve for x
    x = 101,057,941.52/10,624.16
  6. Step 6: Final answer
    x = 9,512.09

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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.