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Finding the Fourth Proportional to 7,854.42, 10,838.58 and 4,497.26

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Solution

The fourth proportional to 7,854.42, 10,838.58 and 4,497.26 is: 6,205.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.42 : 10,838.58 = 4,497.26 : x
  2. Step 2: Convert to fraction form
    7,854.42/10,838.58 = 4,497.26/x
  3. Step 3: Cross multiply
    7,854.42x = 10,838.58 × 4,497.26
  4. Step 4: Simplify right side
    7,854.42x = 48,743,912.29
  5. Step 5: Solve for x
    x = 48,743,912.29/7,854.42
  6. Step 6: Final answer
    x = 6,205.92

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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.