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Finding the Fourth Proportional to 10,406.93, 15,608.21 and 4,862.88

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Solution

The fourth proportional to 10,406.93, 15,608.21 and 4,862.88 is: 7,293.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.93 : 15,608.21 = 4,862.88 : x
  2. Step 2: Convert to fraction form
    10,406.93/15,608.21 = 4,862.88/x
  3. Step 3: Cross multiply
    10,406.93x = 15,608.21 × 4,862.88
  4. Step 4: Simplify right side
    10,406.93x = 75,900,827.93
  5. Step 5: Solve for x
    x = 75,900,827.93/10,406.93
  6. Step 6: Final answer
    x = 7,293.30

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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.