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Finding the Fourth Proportional to 7,099.32, 10,652.63 and 3,818.82

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Solution

The fourth proportional to 7,099.32, 10,652.63 and 3,818.82 is: 5,730.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.32 : 10,652.63 = 3,818.82 : x
  2. Step 2: Convert to fraction form
    7,099.32/10,652.63 = 3,818.82/x
  3. Step 3: Cross multiply
    7,099.32x = 10,652.63 × 3,818.82
  4. Step 4: Simplify right side
    7,099.32x = 40,680,476.50
  5. Step 5: Solve for x
    x = 40,680,476.50/7,099.32
  6. Step 6: Final answer
    x = 5,730.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.