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Finding the Fourth Proportional to 10,460.44, 15,695.76 and 4,616.32

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Solution

The fourth proportional to 10,460.44, 15,695.76 and 4,616.32 is: 6,926.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460.44 : 15,695.76 = 4,616.32 : x
  2. Step 2: Convert to fraction form
    10,460.44/15,695.76 = 4,616.32/x
  3. Step 3: Cross multiply
    10,460.44x = 15,695.76 × 4,616.32
  4. Step 4: Simplify right side
    10,460.44x = 72,456,650.80
  5. Step 5: Solve for x
    x = 72,456,650.80/10,460.44
  6. Step 6: Final answer
    x = 6,926.73

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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.