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Finding the Fourth Proportional to 10,445.82, 15,670.23 and 3,049.32

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Solution

The fourth proportional to 10,445.82, 15,670.23 and 3,049.32 is: 4,574.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,445.82 : 15,670.23 = 3,049.32 : x
  2. Step 2: Convert to fraction form
    10,445.82/15,670.23 = 3,049.32/x
  3. Step 3: Cross multiply
    10,445.82x = 15,670.23 × 3,049.32
  4. Step 4: Simplify right side
    10,445.82x = 47,783,545.74
  5. Step 5: Solve for x
    x = 47,783,545.74/10,445.82
  6. Step 6: Final answer
    x = 4,574.42

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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.