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Finding the Fourth Proportional to 10,473.32, 15,712.68 and 3,078.02

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Solution

The fourth proportional to 10,473.32, 15,712.68 and 3,078.02 is: 4,617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473.32 : 15,712.68 = 3,078.02 : x
  2. Step 2: Convert to fraction form
    10,473.32/15,712.68 = 3,078.02/x
  3. Step 3: Cross multiply
    10,473.32x = 15,712.68 × 3,078.02
  4. Step 4: Simplify right side
    10,473.32x = 48,363,943.29
  5. Step 5: Solve for x
    x = 48,363,943.29/10,473.32
  6. Step 6: Final answer
    x = 4,617.82

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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.