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Finding the Fourth Proportional to 8,497.15, 11,721.32 and 5,347.87

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Solution

The fourth proportional to 8,497.15, 11,721.32 and 5,347.87 is: 7,377.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.15 : 11,721.32 = 5,347.87 : x
  2. Step 2: Convert to fraction form
    8,497.15/11,721.32 = 5,347.87/x
  3. Step 3: Cross multiply
    8,497.15x = 11,721.32 × 5,347.87
  4. Step 4: Simplify right side
    8,497.15x = 62,684,068.85
  5. Step 5: Solve for x
    x = 62,684,068.85/8,497.15
  6. Step 6: Final answer
    x = 7,377.07

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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.