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Finding the Fourth Proportional to 8,897.64, 12,277.92 and 5,119.80

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Solution

The fourth proportional to 8,897.64, 12,277.92 and 5,119.80 is: 7,064.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,897.64 : 12,277.92 = 5,119.80 : x
  2. Step 2: Convert to fraction form
    8,897.64/12,277.92 = 5,119.80/x
  3. Step 3: Cross multiply
    8,897.64x = 12,277.92 × 5,119.80
  4. Step 4: Simplify right side
    8,897.64x = 62,860,494.82
  5. Step 5: Solve for x
    x = 62,860,494.82/8,897.64
  6. Step 6: Final answer
    x = 7,064.85

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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.