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Finding the Fourth Proportional to 10,937.40, 16,416.32 and 5,017.46

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Solution

The fourth proportional to 10,937.40, 16,416.32 and 5,017.46 is: 7,530.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937.40 : 16,416.32 = 5,017.46 : x
  2. Step 2: Convert to fraction form
    10,937.40/16,416.32 = 5,017.46/x
  3. Step 3: Cross multiply
    10,937.40x = 16,416.32 × 5,017.46
  4. Step 4: Simplify right side
    10,937.40x = 82,368,121.78
  5. Step 5: Solve for x
    x = 82,368,121.78/10,937.40
  6. Step 6: Final answer
    x = 7,530.87

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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.