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Finding the Fourth Proportional to 7,853.88, 10,838.40 and 4,317.12

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Solution

The fourth proportional to 7,853.88, 10,838.40 and 4,317.12 is: 5,957.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.88 : 10,838.40 = 4,317.12 : x
  2. Step 2: Convert to fraction form
    7,853.88/10,838.40 = 4,317.12/x
  3. Step 3: Cross multiply
    7,853.88x = 10,838.40 × 4,317.12
  4. Step 4: Simplify right side
    7,853.88x = 46,790,673.41
  5. Step 5: Solve for x
    x = 46,790,673.41/7,853.88
  6. Step 6: Final answer
    x = 5,957.65

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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.