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Finding the Fourth Proportional to 8,594.10, 12,869.24 and 5,663.52

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Solution

The fourth proportional to 8,594.10, 12,869.24 and 5,663.52 is: 8,480.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,594.10 : 12,869.24 = 5,663.52 : x
  2. Step 2: Convert to fraction form
    8,594.10/12,869.24 = 5,663.52/x
  3. Step 3: Cross multiply
    8,594.10x = 12,869.24 × 5,663.52
  4. Step 4: Simplify right side
    8,594.10x = 72,885,169.81
  5. Step 5: Solve for x
    x = 72,885,169.81/8,594.10
  6. Step 6: Final answer
    x = 8,480.84

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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.