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Finding the Fourth Proportional to 7,854.12, 10,827.08 and 5,196.90

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Solution

The fourth proportional to 7,854.12, 10,827.08 and 5,196.90 is: 7,164.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.12 : 10,827.08 = 5,196.90 : x
  2. Step 2: Convert to fraction form
    7,854.12/10,827.08 = 5,196.90/x
  3. Step 3: Cross multiply
    7,854.12x = 10,827.08 × 5,196.90
  4. Step 4: Simplify right side
    7,854.12x = 56,267,252.05
  5. Step 5: Solve for x
    x = 56,267,252.05/7,854.12
  6. Step 6: Final answer
    x = 7,164.04

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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.