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Finding the Fourth Proportional to 11,280.74, 16,916.40 and 4,259.52

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Solution

The fourth proportional to 11,280.74, 16,916.40 and 4,259.52 is: 6,387.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,280.74 : 16,916.40 = 4,259.52 : x
  2. Step 2: Convert to fraction form
    11,280.74/16,916.40 = 4,259.52/x
  3. Step 3: Cross multiply
    11,280.74x = 16,916.40 × 4,259.52
  4. Step 4: Simplify right side
    11,280.74x = 72,055,744.13
  5. Step 5: Solve for x
    x = 72,055,744.13/11,280.74
  6. Step 6: Final answer
    x = 6,387.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.