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Finding the Fourth Proportional to 10,874.88, 16,301.12 and 4,298.40

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Solution

The fourth proportional to 10,874.88, 16,301.12 and 4,298.40 is: 6,443.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.88 : 16,301.12 = 4,298.40 : x
  2. Step 2: Convert to fraction form
    10,874.88/16,301.12 = 4,298.40/x
  3. Step 3: Cross multiply
    10,874.88x = 16,301.12 × 4,298.40
  4. Step 4: Simplify right side
    10,874.88x = 70,068,734.21
  5. Step 5: Solve for x
    x = 70,068,734.21/10,874.88
  6. Step 6: Final answer
    x = 6,443.17

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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.