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Finding the Fourth Proportional to 6,588.86, 9,888.16 and 5,305.82

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Solution

The fourth proportional to 6,588.86, 9,888.16 and 5,305.82 is: 7,962.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.86 : 9,888.16 = 5,305.82 : x
  2. Step 2: Convert to fraction form
    6,588.86/9,888.16 = 5,305.82/x
  3. Step 3: Cross multiply
    6,588.86x = 9,888.16 × 5,305.82
  4. Step 4: Simplify right side
    6,588.86x = 52,464,797.09
  5. Step 5: Solve for x
    x = 52,464,797.09/6,588.86
  6. Step 6: Final answer
    x = 7,962.65

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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.