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Finding the Fourth Proportional to 10,203.74, 15,308.91 and 5,005.97

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Solution

The fourth proportional to 10,203.74, 15,308.91 and 5,005.97 is: 7,510.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.74 : 15,308.91 = 5,005.97 : x
  2. Step 2: Convert to fraction form
    10,203.74/15,308.91 = 5,005.97/x
  3. Step 3: Cross multiply
    10,203.74x = 15,308.91 × 5,005.97
  4. Step 4: Simplify right side
    10,203.74x = 76,635,943.83
  5. Step 5: Solve for x
    x = 76,635,943.83/10,203.74
  6. Step 6: Final answer
    x = 7,510.57

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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.