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Finding the Fourth Proportional to 8,490.30, 12,714.93 and 4,319.34

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Solution

The fourth proportional to 8,490.30, 12,714.93 and 4,319.34 is: 6,468.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.30 : 12,714.93 = 4,319.34 : x
  2. Step 2: Convert to fraction form
    8,490.30/12,714.93 = 4,319.34/x
  3. Step 3: Cross multiply
    8,490.30x = 12,714.93 × 4,319.34
  4. Step 4: Simplify right side
    8,490.30x = 54,920,105.75
  5. Step 5: Solve for x
    x = 54,920,105.75/8,490.30
  6. Step 6: Final answer
    x = 6,468.57

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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.