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Finding the Fourth Proportional to 10,477.65, 15,717.48 and 3,902.28

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Solution

The fourth proportional to 10,477.65, 15,717.48 and 3,902.28 is: 5,853.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.65 : 15,717.48 = 3,902.28 : x
  2. Step 2: Convert to fraction form
    10,477.65/15,717.48 = 3,902.28/x
  3. Step 3: Cross multiply
    10,477.65x = 15,717.48 × 3,902.28
  4. Step 4: Simplify right side
    10,477.65x = 61,333,934.28
  5. Step 5: Solve for x
    x = 61,333,934.28/10,477.65
  6. Step 6: Final answer
    x = 5,853.79

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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.