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Finding the Fourth Proportional to 10,202.47, 15,314.03 and 6,870.33

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Solution

The fourth proportional to 10,202.47, 15,314.03 and 6,870.33 is: 10,312.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.47 : 15,314.03 = 6,870.33 : x
  2. Step 2: Convert to fraction form
    10,202.47/15,314.03 = 6,870.33/x
  3. Step 3: Cross multiply
    10,202.47x = 15,314.03 × 6,870.33
  4. Step 4: Simplify right side
    10,202.47x = 105,212,439.73
  5. Step 5: Solve for x
    x = 105,212,439.73/10,202.47
  6. Step 6: Final answer
    x = 10,312.45

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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.