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Finding the Fourth Proportional to 10,203.54, 15,293.46 and 6,864.72

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Solution

The fourth proportional to 10,203.54, 15,293.46 and 6,864.72 is: 10,289.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.54 : 15,293.46 = 6,864.72 : x
  2. Step 2: Convert to fraction form
    10,203.54/15,293.46 = 6,864.72/x
  3. Step 3: Cross multiply
    10,203.54x = 15,293.46 × 6,864.72
  4. Step 4: Simplify right side
    10,203.54x = 104,985,320.73
  5. Step 5: Solve for x
    x = 104,985,320.73/10,203.54
  6. Step 6: Final answer
    x = 10,289.11

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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.