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Finding the Fourth Proportional to 7,409.92, 10,209.28 and 4,887.58

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Solution

The fourth proportional to 7,409.92, 10,209.28 and 4,887.58 is: 6,734.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.92 : 10,209.28 = 4,887.58 : x
  2. Step 2: Convert to fraction form
    7,409.92/10,209.28 = 4,887.58/x
  3. Step 3: Cross multiply
    7,409.92x = 10,209.28 × 4,887.58
  4. Step 4: Simplify right side
    7,409.92x = 49,898,672.74
  5. Step 5: Solve for x
    x = 49,898,672.74/7,409.92
  6. Step 6: Final answer
    x = 6,734.04

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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.