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Finding the Fourth Proportional to 10,142.60, 15,211.60 and 4,592.28

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Solution

The fourth proportional to 10,142.60, 15,211.60 and 4,592.28 is: 6,887.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.60 : 15,211.60 = 4,592.28 : x
  2. Step 2: Convert to fraction form
    10,142.60/15,211.60 = 4,592.28/x
  3. Step 3: Cross multiply
    10,142.60x = 15,211.60 × 4,592.28
  4. Step 4: Simplify right side
    10,142.60x = 69,855,926.45
  5. Step 5: Solve for x
    x = 69,855,926.45/10,142.60
  6. Step 6: Final answer
    x = 6,887.38

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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.