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Finding the Fourth Proportional to 10,095.52, 13,901.86 and 7,257.90

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Solution

The fourth proportional to 10,095.52, 13,901.86 and 7,257.90 is: 9,994.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095.52 : 13,901.86 = 7,257.90 : x
  2. Step 2: Convert to fraction form
    10,095.52/13,901.86 = 7,257.90/x
  3. Step 3: Cross multiply
    10,095.52x = 13,901.86 × 7,257.90
  4. Step 4: Simplify right side
    10,095.52x = 100,898,309.69
  5. Step 5: Solve for x
    x = 100,898,309.69/10,095.52
  6. Step 6: Final answer
    x = 9,994.36

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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.