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Finding the Fourth Proportional to 10,866.57, 16,299.71 and 3,470.93

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Solution

The fourth proportional to 10,866.57, 16,299.71 and 3,470.93 is: 5,206.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.57 : 16,299.71 = 3,470.93 : x
  2. Step 2: Convert to fraction form
    10,866.57/16,299.71 = 3,470.93/x
  3. Step 3: Cross multiply
    10,866.57x = 16,299.71 × 3,470.93
  4. Step 4: Simplify right side
    10,866.57x = 56,575,152.43
  5. Step 5: Solve for x
    x = 56,575,152.43/10,866.57
  6. Step 6: Final answer
    x = 5,206.35

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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.