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Finding the Fourth Proportional to 7,111.32, 9,815.07 and 4,456.81

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Solution

The fourth proportional to 7,111.32, 9,815.07 and 4,456.81 is: 6,151.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.32 : 9,815.07 = 4,456.81 : x
  2. Step 2: Convert to fraction form
    7,111.32/9,815.07 = 4,456.81/x
  3. Step 3: Cross multiply
    7,111.32x = 9,815.07 × 4,456.81
  4. Step 4: Simplify right side
    7,111.32x = 43,743,902.13
  5. Step 5: Solve for x
    x = 43,743,902.13/7,111.32
  6. Step 6: Final answer
    x = 6,151.31

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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.