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Finding the Fourth Proportional to 10,429.64, 15,641.26 and 5,685

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Solution

The fourth proportional to 10,429.64, 15,641.26 and 5,685 is: 8,525.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.64 : 15,641.26 = 5,685 : x
  2. Step 2: Convert to fraction form
    10,429.64/15,641.26 = 5,685/x
  3. Step 3: Cross multiply
    10,429.64x = 15,641.26 × 5,685
  4. Step 4: Simplify right side
    10,429.64x = 88,920,563.10
  5. Step 5: Solve for x
    x = 88,920,563.10/10,429.64
  6. Step 6: Final answer
    x = 8,525.76

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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.