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Finding the Fourth Proportional to 10,019.52, 13,818.48 and 7,507.56

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Solution

The fourth proportional to 10,019.52, 13,818.48 and 7,507.56 is: 10,354.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.52 : 13,818.48 = 7,507.56 : x
  2. Step 2: Convert to fraction form
    10,019.52/13,818.48 = 7,507.56/x
  3. Step 3: Cross multiply
    10,019.52x = 13,818.48 × 7,507.56
  4. Step 4: Simplify right side
    10,019.52x = 103,743,067.71
  5. Step 5: Solve for x
    x = 103,743,067.71/10,019.52
  6. Step 6: Final answer
    x = 10,354.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.