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Finding the Fourth Proportional to 10,377.68, 15,567.52 and 3,802.28

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Solution

The fourth proportional to 10,377.68, 15,567.52 and 3,802.28 is: 5,703.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,377.68 : 15,567.52 = 3,802.28 : x
  2. Step 2: Convert to fraction form
    10,377.68/15,567.52 = 3,802.28/x
  3. Step 3: Cross multiply
    10,377.68x = 15,567.52 × 3,802.28
  4. Step 4: Simplify right side
    10,377.68x = 59,192,069.95
  5. Step 5: Solve for x
    x = 59,192,069.95/10,377.68
  6. Step 6: Final answer
    x = 5,703.79

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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.