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Finding the Fourth Proportional to 11,915.20, 16,433.44 and 7,430.40

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Solution

The fourth proportional to 11,915.20, 16,433.44 and 7,430.40 is: 10,248.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,915.20 : 16,433.44 = 7,430.40 : x
  2. Step 2: Convert to fraction form
    11,915.20/16,433.44 = 7,430.40/x
  3. Step 3: Cross multiply
    11,915.20x = 16,433.44 × 7,430.40
  4. Step 4: Simplify right side
    11,915.20x = 122,107,032.58
  5. Step 5: Solve for x
    x = 122,107,032.58/11,915.20
  6. Step 6: Final answer
    x = 10,248.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.