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Finding the Fourth Proportional to 8,981.24, 13,482.32 and 4,829.45

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Solution

The fourth proportional to 8,981.24, 13,482.32 and 4,829.45 is: 7,249.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,981.24 : 13,482.32 = 4,829.45 : x
  2. Step 2: Convert to fraction form
    8,981.24/13,482.32 = 4,829.45/x
  3. Step 3: Cross multiply
    8,981.24x = 13,482.32 × 4,829.45
  4. Step 4: Simplify right side
    8,981.24x = 65,112,098.77
  5. Step 5: Solve for x
    x = 65,112,098.77/8,981.24
  6. Step 6: Final answer
    x = 7,249.79

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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.