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Finding the Fourth Proportional to 10,463.34, 15,701.49 and 7,683.15

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Solution

The fourth proportional to 10,463.34, 15,701.49 and 7,683.15 is: 11,529.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.34 : 15,701.49 = 7,683.15 : x
  2. Step 2: Convert to fraction form
    10,463.34/15,701.49 = 7,683.15/x
  3. Step 3: Cross multiply
    10,463.34x = 15,701.49 × 7,683.15
  4. Step 4: Simplify right side
    10,463.34x = 120,636,902.89
  5. Step 5: Solve for x
    x = 120,636,902.89/10,463.34
  6. Step 6: Final answer
    x = 11,529.48

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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.