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Finding the Fourth Proportional to 12,752.54, 19,125.77 and 5,357.15

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Solution

The fourth proportional to 12,752.54, 19,125.77 and 5,357.15 is: 8,034.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,752.54 : 19,125.77 = 5,357.15 : x
  2. Step 2: Convert to fraction form
    12,752.54/19,125.77 = 5,357.15/x
  3. Step 3: Cross multiply
    12,752.54x = 19,125.77 × 5,357.15
  4. Step 4: Simplify right side
    12,752.54x = 102,459,523.13
  5. Step 5: Solve for x
    x = 102,459,523.13/12,752.54
  6. Step 6: Final answer
    x = 8,034.44

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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.