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Finding the Fourth Proportional to 7,853.84, 10,838.30 and 4,317.27

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Solution

The fourth proportional to 7,853.84, 10,838.30 and 4,317.27 is: 5,957.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.84 : 10,838.30 = 4,317.27 : x
  2. Step 2: Convert to fraction form
    7,853.84/10,838.30 = 4,317.27/x
  3. Step 3: Cross multiply
    7,853.84x = 10,838.30 × 4,317.27
  4. Step 4: Simplify right side
    7,853.84x = 46,791,908.80
  5. Step 5: Solve for x
    x = 46,791,908.80/7,853.84
  6. Step 6: Final answer
    x = 5,957.84

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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.