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Finding the Fourth Proportional to 10,152.54, 15,231.60 and 5,773.14

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Solution

The fourth proportional to 10,152.54, 15,231.60 and 5,773.14 is: 8,661.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152.54 : 15,231.60 = 5,773.14 : x
  2. Step 2: Convert to fraction form
    10,152.54/15,231.60 = 5,773.14/x
  3. Step 3: Cross multiply
    10,152.54x = 15,231.60 × 5,773.14
  4. Step 4: Simplify right side
    10,152.54x = 87,934,159.22
  5. Step 5: Solve for x
    x = 87,934,159.22/10,152.54
  6. Step 6: Final answer
    x = 8,661.30

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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.