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Finding the Fourth Proportional to 8,801.64, 12,146.40 and 5,265

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Solution

The fourth proportional to 8,801.64, 12,146.40 and 5,265 is: 7,265.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,801.64 : 12,146.40 = 5,265 : x
  2. Step 2: Convert to fraction form
    8,801.64/12,146.40 = 5,265/x
  3. Step 3: Cross multiply
    8,801.64x = 12,146.40 × 5,265
  4. Step 4: Simplify right side
    8,801.64x = 63,950,796
  5. Step 5: Solve for x
    x = 63,950,796/8,801.64
  6. Step 6: Final answer
    x = 7,265.78

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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.