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Finding the Fourth Proportional to 10,335.40, 15,506.70 and 4,496.20

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Solution

The fourth proportional to 10,335.40, 15,506.70 and 4,496.20 is: 6,745.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,335.40 : 15,506.70 = 4,496.20 : x
  2. Step 2: Convert to fraction form
    10,335.40/15,506.70 = 4,496.20/x
  3. Step 3: Cross multiply
    10,335.40x = 15,506.70 × 4,496.20
  4. Step 4: Simplify right side
    10,335.40x = 69,721,224.54
  5. Step 5: Solve for x
    x = 69,721,224.54/10,335.40
  6. Step 6: Final answer
    x = 6,745.87

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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.