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Finding the Fourth Proportional to 7,849.30, 10,835.58 and 4,869.22

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Solution

The fourth proportional to 7,849.30, 10,835.58 and 4,869.22 is: 6,721.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.30 : 10,835.58 = 4,869.22 : x
  2. Step 2: Convert to fraction form
    7,849.30/10,835.58 = 4,869.22/x
  3. Step 3: Cross multiply
    7,849.30x = 10,835.58 × 4,869.22
  4. Step 4: Simplify right side
    7,849.30x = 52,760,822.85
  5. Step 5: Solve for x
    x = 52,760,822.85/7,849.30
  6. Step 6: Final answer
    x = 6,721.72

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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.