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Finding the Fourth Proportional to 10,405.92, 15,570.48 and 6,248.46

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Solution

The fourth proportional to 10,405.92, 15,570.48 and 6,248.46 is: 9,349.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.92 : 15,570.48 = 6,248.46 : x
  2. Step 2: Convert to fraction form
    10,405.92/15,570.48 = 6,248.46/x
  3. Step 3: Cross multiply
    10,405.92x = 15,570.48 × 6,248.46
  4. Step 4: Simplify right side
    10,405.92x = 97,291,521.46
  5. Step 5: Solve for x
    x = 97,291,521.46/10,405.92
  6. Step 6: Final answer
    x = 9,349.63

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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.