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Finding the Fourth Proportional to 10,653.65, 15,980.47 and 2,862.46

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Solution

The fourth proportional to 10,653.65, 15,980.47 and 2,862.46 is: 4,293.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.65 : 15,980.47 = 2,862.46 : x
  2. Step 2: Convert to fraction form
    10,653.65/15,980.47 = 2,862.46/x
  3. Step 3: Cross multiply
    10,653.65x = 15,980.47 × 2,862.46
  4. Step 4: Simplify right side
    10,653.65x = 45,743,456.16
  5. Step 5: Solve for x
    x = 45,743,456.16/10,653.65
  6. Step 6: Final answer
    x = 4,293.69

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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.