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Finding the Fourth Proportional to 8,312.74, 11,471.50 and 5,124.76

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Solution

The fourth proportional to 8,312.74, 11,471.50 and 5,124.76 is: 7,072.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.74 : 11,471.50 = 5,124.76 : x
  2. Step 2: Convert to fraction form
    8,312.74/11,471.50 = 5,124.76/x
  3. Step 3: Cross multiply
    8,312.74x = 11,471.50 × 5,124.76
  4. Step 4: Simplify right side
    8,312.74x = 58,788,631.52
  5. Step 5: Solve for x
    x = 58,788,631.52/8,312.74
  6. Step 6: Final answer
    x = 7,072.12

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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.