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Finding the Fourth Proportional to 10,392.66, 15,595.32 and 5,465.82

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Solution

The fourth proportional to 10,392.66, 15,595.32 and 5,465.82 is: 8,202.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,392.66 : 15,595.32 = 5,465.82 : x
  2. Step 2: Convert to fraction form
    10,392.66/15,595.32 = 5,465.82/x
  3. Step 3: Cross multiply
    10,392.66x = 15,595.32 × 5,465.82
  4. Step 4: Simplify right side
    10,392.66x = 85,241,211.96
  5. Step 5: Solve for x
    x = 85,241,211.96/10,392.66
  6. Step 6: Final answer
    x = 8,202.06

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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.