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Finding the Fourth Proportional to 10,401.34, 15,607.42 and 7,951.90

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Solution

The fourth proportional to 10,401.34, 15,607.42 and 7,951.90 is: 11,931.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401.34 : 15,607.42 = 7,951.90 : x
  2. Step 2: Convert to fraction form
    10,401.34/15,607.42 = 7,951.90/x
  3. Step 3: Cross multiply
    10,401.34x = 15,607.42 × 7,951.90
  4. Step 4: Simplify right side
    10,401.34x = 124,108,643.10
  5. Step 5: Solve for x
    x = 124,108,643.10/10,401.34
  6. Step 6: Final answer
    x = 11,931.99

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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.