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Finding the Fourth Proportional to 10,312.74, 15,465.15 and 3,737.34

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Solution

The fourth proportional to 10,312.74, 15,465.15 and 3,737.34 is: 5,604.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,312.74 : 15,465.15 = 3,737.34 : x
  2. Step 2: Convert to fraction form
    10,312.74/15,465.15 = 3,737.34/x
  3. Step 3: Cross multiply
    10,312.74x = 15,465.15 × 3,737.34
  4. Step 4: Simplify right side
    10,312.74x = 57,798,523.70
  5. Step 5: Solve for x
    x = 57,798,523.70/10,312.74
  6. Step 6: Final answer
    x = 5,604.57

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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.