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Finding the Fourth Proportional to 7,562.80, 11,334.94 and 5,708.10

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Solution

The fourth proportional to 7,562.80, 11,334.94 and 5,708.10 is: 8,555.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562.80 : 11,334.94 = 5,708.10 : x
  2. Step 2: Convert to fraction form
    7,562.80/11,334.94 = 5,708.10/x
  3. Step 3: Cross multiply
    7,562.80x = 11,334.94 × 5,708.10
  4. Step 4: Simplify right side
    7,562.80x = 64,700,999.25
  5. Step 5: Solve for x
    x = 64,700,999.25/7,562.80
  6. Step 6: Final answer
    x = 8,555.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.