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Finding the Fourth Proportional to 10,547.02, 15,819.96 and 5,352.76

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Solution

The fourth proportional to 10,547.02, 15,819.96 and 5,352.76 is: 8,028.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547.02 : 15,819.96 = 5,352.76 : x
  2. Step 2: Convert to fraction form
    10,547.02/15,819.96 = 5,352.76/x
  3. Step 3: Cross multiply
    10,547.02x = 15,819.96 × 5,352.76
  4. Step 4: Simplify right side
    10,547.02x = 84,680,449.09
  5. Step 5: Solve for x
    x = 84,680,449.09/10,547.02
  6. Step 6: Final answer
    x = 8,028.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.