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Finding the Fourth Proportional to 8,553.60, 12,820.14 and 3,875.85

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Solution

The fourth proportional to 8,553.60, 12,820.14 and 3,875.85 is: 5,809.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,553.60 : 12,820.14 = 3,875.85 : x
  2. Step 2: Convert to fraction form
    8,553.60/12,820.14 = 3,875.85/x
  3. Step 3: Cross multiply
    8,553.60x = 12,820.14 × 3,875.85
  4. Step 4: Simplify right side
    8,553.60x = 49,688,939.62
  5. Step 5: Solve for x
    x = 49,688,939.62/8,553.60
  6. Step 6: Final answer
    x = 5,809.13

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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.