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Finding the Fourth Proportional to 8,577.12, 12,830.07 and 8,052.24

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Solution

The fourth proportional to 8,577.12, 12,830.07 and 8,052.24 is: 12,044.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.12 : 12,830.07 = 8,052.24 : x
  2. Step 2: Convert to fraction form
    8,577.12/12,830.07 = 8,052.24/x
  3. Step 3: Cross multiply
    8,577.12x = 12,830.07 × 8,052.24
  4. Step 4: Simplify right side
    8,577.12x = 103,310,802.86
  5. Step 5: Solve for x
    x = 103,310,802.86/8,577.12
  6. Step 6: Final answer
    x = 12,044.93

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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.