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Finding the Fourth Proportional to 10,203.57, 15,304.75 and 4,653.15

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Solution

The fourth proportional to 10,203.57, 15,304.75 and 4,653.15 is: 6,979.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.57 : 15,304.75 = 4,653.15 : x
  2. Step 2: Convert to fraction form
    10,203.57/15,304.75 = 4,653.15/x
  3. Step 3: Cross multiply
    10,203.57x = 15,304.75 × 4,653.15
  4. Step 4: Simplify right side
    10,203.57x = 71,215,228.44
  5. Step 5: Solve for x
    x = 71,215,228.44/10,203.57
  6. Step 6: Final answer
    x = 6,979.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.