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Finding the Fourth Proportional to 7,158.12, 9,878.32 and 5,362.42

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Solution

The fourth proportional to 7,158.12, 9,878.32 and 5,362.42 is: 7,400.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.12 : 9,878.32 = 5,362.42 : x
  2. Step 2: Convert to fraction form
    7,158.12/9,878.32 = 5,362.42/x
  3. Step 3: Cross multiply
    7,158.12x = 9,878.32 × 5,362.42
  4. Step 4: Simplify right side
    7,158.12x = 52,971,673.92
  5. Step 5: Solve for x
    x = 52,971,673.92/7,158.12
  6. Step 6: Final answer
    x = 7,400.22

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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.