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Finding the Fourth Proportional to 7,854.30, 10,838.61 and 5,017.68

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Solution

The fourth proportional to 7,854.30, 10,838.61 and 5,017.68 is: 6,924.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.30 : 10,838.61 = 5,017.68 : x
  2. Step 2: Convert to fraction form
    7,854.30/10,838.61 = 5,017.68/x
  3. Step 3: Cross multiply
    7,854.30x = 10,838.61 × 5,017.68
  4. Step 4: Simplify right side
    7,854.30x = 54,384,676.62
  5. Step 5: Solve for x
    x = 54,384,676.62/7,854.30
  6. Step 6: Final answer
    x = 6,924.19

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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.