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Finding the Fourth Proportional to 10,339.64, 15,508.17 and 3,319.10

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Solution

The fourth proportional to 10,339.64, 15,508.17 and 3,319.10 is: 4,978.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339.64 : 15,508.17 = 3,319.10 : x
  2. Step 2: Convert to fraction form
    10,339.64/15,508.17 = 3,319.10/x
  3. Step 3: Cross multiply
    10,339.64x = 15,508.17 × 3,319.10
  4. Step 4: Simplify right side
    10,339.64x = 51,473,089.51
  5. Step 5: Solve for x
    x = 51,473,089.51/10,339.64
  6. Step 6: Final answer
    x = 4,978.23

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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.