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Finding the Fourth Proportional to 10,197.32, 15,294.54 and 5,001.80

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Solution

The fourth proportional to 10,197.32, 15,294.54 and 5,001.80 is: 7,501.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.32 : 15,294.54 = 5,001.80 : x
  2. Step 2: Convert to fraction form
    10,197.32/15,294.54 = 5,001.80/x
  3. Step 3: Cross multiply
    10,197.32x = 15,294.54 × 5,001.80
  4. Step 4: Simplify right side
    10,197.32x = 76,500,230.17
  5. Step 5: Solve for x
    x = 76,500,230.17/10,197.32
  6. Step 6: Final answer
    x = 7,501.99

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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.