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Finding the Fourth Proportional to 10,688.40, 16,044.12 and 7,624.08

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Solution

The fourth proportional to 10,688.40, 16,044.12 and 7,624.08 is: 11,444.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,688.40 : 16,044.12 = 7,624.08 : x
  2. Step 2: Convert to fraction form
    10,688.40/16,044.12 = 7,624.08/x
  3. Step 3: Cross multiply
    10,688.40x = 16,044.12 × 7,624.08
  4. Step 4: Simplify right side
    10,688.40x = 122,321,654.41
  5. Step 5: Solve for x
    x = 122,321,654.41/10,688.40
  6. Step 6: Final answer
    x = 11,444.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.