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Finding the Fourth Proportional to 10,281.66, 15,423.84 and 4,734.24

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Solution

The fourth proportional to 10,281.66, 15,423.84 and 4,734.24 is: 7,101.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.66 : 15,423.84 = 4,734.24 : x
  2. Step 2: Convert to fraction form
    10,281.66/15,423.84 = 4,734.24/x
  3. Step 3: Cross multiply
    10,281.66x = 15,423.84 × 4,734.24
  4. Step 4: Simplify right side
    10,281.66x = 73,020,160.28
  5. Step 5: Solve for x
    x = 73,020,160.28/10,281.66
  6. Step 6: Final answer
    x = 7,101.98

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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.