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Finding the Fourth Proportional to 10,653.57, 15,980.35 and 2,862.38

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Solution

The fourth proportional to 10,653.57, 15,980.35 and 2,862.38 is: 4,293.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.57 : 15,980.35 = 2,862.38 : x
  2. Step 2: Convert to fraction form
    10,653.57/15,980.35 = 2,862.38/x
  3. Step 3: Cross multiply
    10,653.57x = 15,980.35 × 2,862.38
  4. Step 4: Simplify right side
    10,653.57x = 45,741,859.87
  5. Step 5: Solve for x
    x = 45,741,859.87/10,653.57
  6. Step 6: Final answer
    x = 4,293.57

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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.