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Finding the Fourth Proportional to 8,830.32, 13,229.93 and 4,661.15

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Solution

The fourth proportional to 8,830.32, 13,229.93 and 4,661.15 is: 6,983.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,830.32 : 13,229.93 = 4,661.15 : x
  2. Step 2: Convert to fraction form
    8,830.32/13,229.93 = 4,661.15/x
  3. Step 3: Cross multiply
    8,830.32x = 13,229.93 × 4,661.15
  4. Step 4: Simplify right side
    8,830.32x = 61,666,633.72
  5. Step 5: Solve for x
    x = 61,666,633.72/8,830.32
  6. Step 6: Final answer
    x = 6,983.51

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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.