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Finding the Fourth Proportional to 8,273.61, 11,417.76 and 5,288.76

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Solution

The fourth proportional to 8,273.61, 11,417.76 and 5,288.76 is: 7,298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,273.61 : 11,417.76 = 5,288.76 : x
  2. Step 2: Convert to fraction form
    8,273.61/11,417.76 = 5,288.76/x
  3. Step 3: Cross multiply
    8,273.61x = 11,417.76 × 5,288.76
  4. Step 4: Simplify right side
    8,273.61x = 60,385,792.38
  5. Step 5: Solve for x
    x = 60,385,792.38/8,273.61
  6. Step 6: Final answer
    x = 7,298.60

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Why These Related Problems?

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