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Finding the Fourth Proportional to 7,148.25, 9,864.72 and 4,005.18

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Solution

The fourth proportional to 7,148.25, 9,864.72 and 4,005.18 is: 5,527.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.25 : 9,864.72 = 4,005.18 : x
  2. Step 2: Convert to fraction form
    7,148.25/9,864.72 = 4,005.18/x
  3. Step 3: Cross multiply
    7,148.25x = 9,864.72 × 4,005.18
  4. Step 4: Simplify right side
    7,148.25x = 39,509,979.25
  5. Step 5: Solve for x
    x = 39,509,979.25/7,148.25
  6. Step 6: Final answer
    x = 5,527.22

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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.