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Finding the Fourth Proportional to 10,429.12, 14,394.04 and 6,240.16

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Solution

The fourth proportional to 10,429.12, 14,394.04 and 6,240.16 is: 8,612.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.12 : 14,394.04 = 6,240.16 : x
  2. Step 2: Convert to fraction form
    10,429.12/14,394.04 = 6,240.16/x
  3. Step 3: Cross multiply
    10,429.12x = 14,394.04 × 6,240.16
  4. Step 4: Simplify right side
    10,429.12x = 89,821,112.65
  5. Step 5: Solve for x
    x = 89,821,112.65/10,429.12
  6. Step 6: Final answer
    x = 8,612.53

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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.