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Finding the Fourth Proportional to 10,463.84, 15,702.24 and 7,683.68

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Solution

The fourth proportional to 10,463.84, 15,702.24 and 7,683.68 is: 11,530.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.84 : 15,702.24 = 7,683.68 : x
  2. Step 2: Convert to fraction form
    10,463.84/15,702.24 = 7,683.68/x
  3. Step 3: Cross multiply
    10,463.84x = 15,702.24 × 7,683.68
  4. Step 4: Simplify right side
    10,463.84x = 120,650,987.44
  5. Step 5: Solve for x
    x = 120,650,987.44/10,463.84
  6. Step 6: Final answer
    x = 11,530.28

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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.