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Finding the Fourth Proportional to 7,862.67, 10,838.75 and 5,205.47

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Solution

The fourth proportional to 7,862.67, 10,838.75 and 5,205.47 is: 7,175.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.67 : 10,838.75 = 5,205.47 : x
  2. Step 2: Convert to fraction form
    7,862.67/10,838.75 = 5,205.47/x
  3. Step 3: Cross multiply
    7,862.67x = 10,838.75 × 5,205.47
  4. Step 4: Simplify right side
    7,862.67x = 56,420,707.74
  5. Step 5: Solve for x
    x = 56,420,707.74/7,862.67
  6. Step 6: Final answer
    x = 7,175.77

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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.