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Finding the Fourth Proportional to 7,853.76, 10,838.40 and 4,317.36

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Solution

The fourth proportional to 7,853.76, 10,838.40 and 4,317.36 is: 5,958.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.76 : 10,838.40 = 4,317.36 : x
  2. Step 2: Convert to fraction form
    7,853.76/10,838.40 = 4,317.36/x
  3. Step 3: Cross multiply
    7,853.76x = 10,838.40 × 4,317.36
  4. Step 4: Simplify right side
    7,853.76x = 46,793,274.62
  5. Step 5: Solve for x
    x = 46,793,274.62/7,853.76
  6. Step 6: Final answer
    x = 5,958.07

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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.