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Finding the Fourth Proportional to 7,495.71, 10,343.81 and 4,138.45

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Solution

The fourth proportional to 7,495.71, 10,343.81 and 4,138.45 is: 5,710.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,495.71 : 10,343.81 = 4,138.45 : x
  2. Step 2: Convert to fraction form
    7,495.71/10,343.81 = 4,138.45/x
  3. Step 3: Cross multiply
    7,495.71x = 10,343.81 × 4,138.45
  4. Step 4: Simplify right side
    7,495.71x = 42,807,319.80
  5. Step 5: Solve for x
    x = 42,807,319.80/7,495.71
  6. Step 6: Final answer
    x = 5,710.91

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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.