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Finding the Fourth Proportional to 7,288.17, 10,057.82 and 4,144.47

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Solution

The fourth proportional to 7,288.17, 10,057.82 and 4,144.47 is: 5,719.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,288.17 : 10,057.82 = 4,144.47 : x
  2. Step 2: Convert to fraction form
    7,288.17/10,057.82 = 4,144.47/x
  3. Step 3: Cross multiply
    7,288.17x = 10,057.82 × 4,144.47
  4. Step 4: Simplify right side
    7,288.17x = 41,684,312.53
  5. Step 5: Solve for x
    x = 41,684,312.53/7,288.17
  6. Step 6: Final answer
    x = 5,719.45

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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.