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Finding the Fourth Proportional to 10,834.90, 14,952.16 and 5,866.90

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Solution

The fourth proportional to 10,834.90, 14,952.16 and 5,866.90 is: 8,096.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834.90 : 14,952.16 = 5,866.90 : x
  2. Step 2: Convert to fraction form
    10,834.90/14,952.16 = 5,866.90/x
  3. Step 3: Cross multiply
    10,834.90x = 14,952.16 × 5,866.90
  4. Step 4: Simplify right side
    10,834.90x = 87,722,827.50
  5. Step 5: Solve for x
    x = 87,722,827.50/10,834.90
  6. Step 6: Final answer
    x = 8,096.32

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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.