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Finding the Fourth Proportional to 10,147.34, 15,197.90 and 7,013.14

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Solution

The fourth proportional to 10,147.34, 15,197.90 and 7,013.14 is: 10,503.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147.34 : 15,197.90 = 7,013.14 : x
  2. Step 2: Convert to fraction form
    10,147.34/15,197.90 = 7,013.14/x
  3. Step 3: Cross multiply
    10,147.34x = 15,197.90 × 7,013.14
  4. Step 4: Simplify right side
    10,147.34x = 106,585,000.41
  5. Step 5: Solve for x
    x = 106,585,000.41/10,147.34
  6. Step 6: Final answer
    x = 10,503.74

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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.