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Finding the Fourth Proportional to 7,472.95, 10,312.67 and 4,115.76

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Solution

The fourth proportional to 7,472.95, 10,312.67 and 4,115.76 is: 5,679.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.95 : 10,312.67 = 4,115.76 : x
  2. Step 2: Convert to fraction form
    7,472.95/10,312.67 = 4,115.76/x
  3. Step 3: Cross multiply
    7,472.95x = 10,312.67 × 4,115.76
  4. Step 4: Simplify right side
    7,472.95x = 42,444,433.41
  5. Step 5: Solve for x
    x = 42,444,433.41/7,472.95
  6. Step 6: Final answer
    x = 5,679.74

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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.