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Finding the Fourth Proportional to 10,195.48, 15,282.89 and 6,908.90

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Solution

The fourth proportional to 10,195.48, 15,282.89 and 6,908.90 is: 10,356.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.48 : 15,282.89 = 6,908.90 : x
  2. Step 2: Convert to fraction form
    10,195.48/15,282.89 = 6,908.90/x
  3. Step 3: Cross multiply
    10,195.48x = 15,282.89 × 6,908.90
  4. Step 4: Simplify right side
    10,195.48x = 105,587,924.18
  5. Step 5: Solve for x
    x = 105,587,924.18/10,195.48
  6. Step 6: Final answer
    x = 10,356.35

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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.