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Finding the Fourth Proportional to 10,155.68, 15,228.05 and 5,478.20

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Solution

The fourth proportional to 10,155.68, 15,228.05 and 5,478.20 is: 8,214.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,155.68 : 15,228.05 = 5,478.20 : x
  2. Step 2: Convert to fraction form
    10,155.68/15,228.05 = 5,478.20/x
  3. Step 3: Cross multiply
    10,155.68x = 15,228.05 × 5,478.20
  4. Step 4: Simplify right side
    10,155.68x = 83,422,199.98
  5. Step 5: Solve for x
    x = 83,422,199.98/10,155.68
  6. Step 6: Final answer
    x = 8,214.34

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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.