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Finding the Fourth Proportional to 10,522.40, 15,787.20 and 4,683.20

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Solution

The fourth proportional to 10,522.40, 15,787.20 and 4,683.20 is: 7,026.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.40 : 15,787.20 = 4,683.20 : x
  2. Step 2: Convert to fraction form
    10,522.40/15,787.20 = 4,683.20/x
  3. Step 3: Cross multiply
    10,522.40x = 15,787.20 × 4,683.20
  4. Step 4: Simplify right side
    10,522.40x = 73,934,615.04
  5. Step 5: Solve for x
    x = 73,934,615.04/10,522.40
  6. Step 6: Final answer
    x = 7,026.40

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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.