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Finding the Fourth Proportional to 7,472.89, 10,312.19 and 4,115.07

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Solution

The fourth proportional to 7,472.89, 10,312.19 and 4,115.07 is: 5,678.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.89 : 10,312.19 = 4,115.07 : x
  2. Step 2: Convert to fraction form
    7,472.89/10,312.19 = 4,115.07/x
  3. Step 3: Cross multiply
    7,472.89x = 10,312.19 × 4,115.07
  4. Step 4: Simplify right side
    7,472.89x = 42,435,383.70
  5. Step 5: Solve for x
    x = 42,435,383.70/7,472.89
  6. Step 6: Final answer
    x = 5,678.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.