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Finding the Fourth Proportional to 8,674.16, 13,002.93 and 5,714.89

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Solution

The fourth proportional to 8,674.16, 13,002.93 and 5,714.89 is: 8,566.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,674.16 : 13,002.93 = 5,714.89 : x
  2. Step 2: Convert to fraction form
    8,674.16/13,002.93 = 5,714.89/x
  3. Step 3: Cross multiply
    8,674.16x = 13,002.93 × 5,714.89
  4. Step 4: Simplify right side
    8,674.16x = 74,310,282.12
  5. Step 5: Solve for x
    x = 74,310,282.12/8,674.16
  6. Step 6: Final answer
    x = 8,566.86

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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.