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Finding the Fourth Proportional to 7,496.19, 10,343.84 and 4,138.74

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Solution

The fourth proportional to 7,496.19, 10,343.84 and 4,138.74 is: 5,710.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,496.19 : 10,343.84 = 4,138.74 : x
  2. Step 2: Convert to fraction form
    7,496.19/10,343.84 = 4,138.74/x
  3. Step 3: Cross multiply
    7,496.19x = 10,343.84 × 4,138.74
  4. Step 4: Simplify right side
    7,496.19x = 42,810,443.67
  5. Step 5: Solve for x
    x = 42,810,443.67/7,496.19
  6. Step 6: Final answer
    x = 5,710.96

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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.