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Finding the Fourth Proportional to 7,854.32, 10,838.72 and 4,317.52

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Solution

The fourth proportional to 7,854.32, 10,838.72 and 4,317.52 is: 5,958.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.32 : 10,838.72 = 4,317.52 : x
  2. Step 2: Convert to fraction form
    7,854.32/10,838.72 = 4,317.52/x
  3. Step 3: Cross multiply
    7,854.32x = 10,838.72 × 4,317.52
  4. Step 4: Simplify right side
    7,854.32x = 46,796,390.37
  5. Step 5: Solve for x
    x = 46,796,390.37/7,854.32
  6. Step 6: Final answer
    x = 5,958.04

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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.