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Finding the Fourth Proportional to 13,076.72, 19,614.88 and 5,280

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Solution

The fourth proportional to 13,076.72, 19,614.88 and 5,280 is: 7,919.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,076.72 : 19,614.88 = 5,280 : x
  2. Step 2: Convert to fraction form
    13,076.72/19,614.88 = 5,280/x
  3. Step 3: Cross multiply
    13,076.72x = 19,614.88 × 5,280
  4. Step 4: Simplify right side
    13,076.72x = 103,566,566.40
  5. Step 5: Solve for x
    x = 103,566,566.40/13,076.72
  6. Step 6: Final answer
    x = 7,919.92

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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.