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Finding the Fourth Proportional to 8,302.92, 11,461.10 and 5,116.74

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Solution

The fourth proportional to 8,302.92, 11,461.10 and 5,116.74 is: 7,062.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.92 : 11,461.10 = 5,116.74 : x
  2. Step 2: Convert to fraction form
    8,302.92/11,461.10 = 5,116.74/x
  3. Step 3: Cross multiply
    8,302.92x = 11,461.10 × 5,116.74
  4. Step 4: Simplify right side
    8,302.92x = 58,643,468.81
  5. Step 5: Solve for x
    x = 58,643,468.81/8,302.92
  6. Step 6: Final answer
    x = 7,062.99

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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.