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Finding the Fourth Proportional to 10,527, 15,782.22 and 5,848.62

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Solution

The fourth proportional to 10,527, 15,782.22 and 5,848.62 is: 8,768.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527 : 15,782.22 = 5,848.62 : x
  2. Step 2: Convert to fraction form
    10,527/15,782.22 = 5,848.62/x
  3. Step 3: Cross multiply
    10,527x = 15,782.22 × 5,848.62
  4. Step 4: Simplify right side
    10,527x = 92,304,207.54
  5. Step 5: Solve for x
    x = 92,304,207.54/10,527
  6. Step 6: Final answer
    x = 8,768.33

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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.