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Finding the Fourth Proportional to 7,827.32, 10,806.84 and 6,031.44

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Solution

The fourth proportional to 7,827.32, 10,806.84 and 6,031.44 is: 8,327.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.32 : 10,806.84 = 6,031.44 : x
  2. Step 2: Convert to fraction form
    7,827.32/10,806.84 = 6,031.44/x
  3. Step 3: Cross multiply
    7,827.32x = 10,806.84 × 6,031.44
  4. Step 4: Simplify right side
    7,827.32x = 65,180,807.05
  5. Step 5: Solve for x
    x = 65,180,807.05/7,827.32
  6. Step 6: Final answer
    x = 8,327.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.