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Finding the Fourth Proportional to 7,758.87, 10,719.77 and 5,411.49

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Solution

The fourth proportional to 7,758.87, 10,719.77 and 5,411.49 is: 7,476.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.87 : 10,719.77 = 5,411.49 : x
  2. Step 2: Convert to fraction form
    7,758.87/10,719.77 = 5,411.49/x
  3. Step 3: Cross multiply
    7,758.87x = 10,719.77 × 5,411.49
  4. Step 4: Simplify right side
    7,758.87x = 58,009,928.16
  5. Step 5: Solve for x
    x = 58,009,928.16/7,758.87
  6. Step 6: Final answer
    x = 7,476.59

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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.