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Finding the Fourth Proportional to 10,602.75, 15,906.70 and 7,488.83

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Solution

The fourth proportional to 10,602.75, 15,906.70 and 7,488.83 is: 11,235.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.75 : 15,906.70 = 7,488.83 : x
  2. Step 2: Convert to fraction form
    10,602.75/15,906.70 = 7,488.83/x
  3. Step 3: Cross multiply
    10,602.75x = 15,906.70 × 7,488.83
  4. Step 4: Simplify right side
    10,602.75x = 119,122,572.16
  5. Step 5: Solve for x
    x = 119,122,572.16/10,602.75
  6. Step 6: Final answer
    x = 11,235.06

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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.