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Finding the Fourth Proportional to 10,392.61, 15,588.95 and 8,302.83

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Solution

The fourth proportional to 10,392.61, 15,588.95 and 8,302.83 is: 12,454.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,392.61 : 15,588.95 = 8,302.83 : x
  2. Step 2: Convert to fraction form
    10,392.61/15,588.95 = 8,302.83/x
  3. Step 3: Cross multiply
    10,392.61x = 15,588.95 × 8,302.83
  4. Step 4: Simplify right side
    10,392.61x = 129,432,363.41
  5. Step 5: Solve for x
    x = 129,432,363.41/10,392.61
  6. Step 6: Final answer
    x = 12,454.27

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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.