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Finding the Fourth Proportional to 10,642.94, 15,967.76 and 4,405.90

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Solution

The fourth proportional to 10,642.94, 15,967.76 and 4,405.90 is: 6,610.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.94 : 15,967.76 = 4,405.90 : x
  2. Step 2: Convert to fraction form
    10,642.94/15,967.76 = 4,405.90/x
  3. Step 3: Cross multiply
    10,642.94x = 15,967.76 × 4,405.90
  4. Step 4: Simplify right side
    10,642.94x = 70,352,353.78
  5. Step 5: Solve for x
    x = 70,352,353.78/10,642.94
  6. Step 6: Final answer
    x = 6,610.24

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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.