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Finding the Fourth Proportional to 8,277.80, 11,422.50 and 4,741.16

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Solution

The fourth proportional to 8,277.80, 11,422.50 and 4,741.16 is: 6,542.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.80 : 11,422.50 = 4,741.16 : x
  2. Step 2: Convert to fraction form
    8,277.80/11,422.50 = 4,741.16/x
  3. Step 3: Cross multiply
    8,277.80x = 11,422.50 × 4,741.16
  4. Step 4: Simplify right side
    8,277.80x = 54,155,900.10
  5. Step 5: Solve for x
    x = 54,155,900.10/8,277.80
  6. Step 6: Final answer
    x = 6,542.31

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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.