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Finding the Fourth Proportional to 10,034.64, 15,028.68 and 8,537.52

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Solution

The fourth proportional to 10,034.64, 15,028.68 and 8,537.52 is: 12,786.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.64 : 15,028.68 = 8,537.52 : x
  2. Step 2: Convert to fraction form
    10,034.64/15,028.68 = 8,537.52/x
  3. Step 3: Cross multiply
    10,034.64x = 15,028.68 × 8,537.52
  4. Step 4: Simplify right side
    10,034.64x = 128,307,656.07
  5. Step 5: Solve for x
    x = 128,307,656.07/10,034.64
  6. Step 6: Final answer
    x = 12,786.47

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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.