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Finding the Fourth Proportional to 7,854.39, 10,838.84 and 4,669.11

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Solution

The fourth proportional to 7,854.39, 10,838.84 and 4,669.11 is: 6,443.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.39 : 10,838.84 = 4,669.11 : x
  2. Step 2: Convert to fraction form
    7,854.39/10,838.84 = 4,669.11/x
  3. Step 3: Cross multiply
    7,854.39x = 10,838.84 × 4,669.11
  4. Step 4: Simplify right side
    7,854.39x = 50,607,712.89
  5. Step 5: Solve for x
    x = 50,607,712.89/7,854.39
  6. Step 6: Final answer
    x = 6,443.24

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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.