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Finding the Fourth Proportional to 10,641.72, 15,960.30 and 4,065.60

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Solution

The fourth proportional to 10,641.72, 15,960.30 and 4,065.60 is: 6,097.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.72 : 15,960.30 = 4,065.60 : x
  2. Step 2: Convert to fraction form
    10,641.72/15,960.30 = 4,065.60/x
  3. Step 3: Cross multiply
    10,641.72x = 15,960.30 × 4,065.60
  4. Step 4: Simplify right side
    10,641.72x = 64,888,195.68
  5. Step 5: Solve for x
    x = 64,888,195.68/10,641.72
  6. Step 6: Final answer
    x = 6,097.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.