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Finding the Fourth Proportional to 6,599.16, 9,905.12 and 5,381.33

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Solution

The fourth proportional to 6,599.16, 9,905.12 and 5,381.33 is: 8,077.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,599.16 : 9,905.12 = 5,381.33 : x
  2. Step 2: Convert to fraction form
    6,599.16/9,905.12 = 5,381.33/x
  3. Step 3: Cross multiply
    6,599.16x = 9,905.12 × 5,381.33
  4. Step 4: Simplify right side
    6,599.16x = 53,302,642.98
  5. Step 5: Solve for x
    x = 53,302,642.98/6,599.16
  6. Step 6: Final answer
    x = 8,077.19

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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.