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Finding the Fourth Proportional to 7,551.80, 10,426.56 and 5,780.24

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Solution

The fourth proportional to 7,551.80, 10,426.56 and 5,780.24 is: 7,980.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,551.80 : 10,426.56 = 5,780.24 : x
  2. Step 2: Convert to fraction form
    7,551.80/10,426.56 = 5,780.24/x
  3. Step 3: Cross multiply
    7,551.80x = 10,426.56 × 5,780.24
  4. Step 4: Simplify right side
    7,551.80x = 60,268,019.17
  5. Step 5: Solve for x
    x = 60,268,019.17/7,551.80
  6. Step 6: Final answer
    x = 7,980.62

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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.