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Finding the Fourth Proportional to 8,854.72, 12,218.16 and 5,128

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Solution

The fourth proportional to 8,854.72, 12,218.16 and 5,128 is: 7,075.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,854.72 : 12,218.16 = 5,128 : x
  2. Step 2: Convert to fraction form
    8,854.72/12,218.16 = 5,128/x
  3. Step 3: Cross multiply
    8,854.72x = 12,218.16 × 5,128
  4. Step 4: Simplify right side
    8,854.72x = 62,654,724.48
  5. Step 5: Solve for x
    x = 62,654,724.48/8,854.72
  6. Step 6: Final answer
    x = 7,075.86

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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.