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Finding the Fourth Proportional to 10,438.48, 15,659 and 4,281.68

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Solution

The fourth proportional to 10,438.48, 15,659 and 4,281.68 is: 6,423.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.48 : 15,659 = 4,281.68 : x
  2. Step 2: Convert to fraction form
    10,438.48/15,659 = 4,281.68/x
  3. Step 3: Cross multiply
    10,438.48x = 15,659 × 4,281.68
  4. Step 4: Simplify right side
    10,438.48x = 67,046,827.12
  5. Step 5: Solve for x
    x = 67,046,827.12/10,438.48
  6. Step 6: Final answer
    x = 6,423.05

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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.