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Finding the Fourth Proportional to 7,859.92, 10,842.18 and 4,714.24

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Solution

The fourth proportional to 7,859.92, 10,842.18 and 4,714.24 is: 6,502.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.92 : 10,842.18 = 4,714.24 : x
  2. Step 2: Convert to fraction form
    7,859.92/10,842.18 = 4,714.24/x
  3. Step 3: Cross multiply
    7,859.92x = 10,842.18 × 4,714.24
  4. Step 4: Simplify right side
    7,859.92x = 51,112,638.64
  5. Step 5: Solve for x
    x = 51,112,638.64/7,859.92
  6. Step 6: Final answer
    x = 6,502.95

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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.