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Finding the Fourth Proportional to 10,714.17, 14,792.86 and 6,682.57

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Solution

The fourth proportional to 10,714.17, 14,792.86 and 6,682.57 is: 9,226.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.17 : 14,792.86 = 6,682.57 : x
  2. Step 2: Convert to fraction form
    10,714.17/14,792.86 = 6,682.57/x
  3. Step 3: Cross multiply
    10,714.17x = 14,792.86 × 6,682.57
  4. Step 4: Simplify right side
    10,714.17x = 98,854,248.49
  5. Step 5: Solve for x
    x = 98,854,248.49/10,714.17
  6. Step 6: Final answer
    x = 9,226.50

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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.