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Finding the Fourth Proportional to 8,829.64, 13,225.74 and 6,043.24

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Solution

The fourth proportional to 8,829.64, 13,225.74 and 6,043.24 is: 9,052.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,829.64 : 13,225.74 = 6,043.24 : x
  2. Step 2: Convert to fraction form
    8,829.64/13,225.74 = 6,043.24/x
  3. Step 3: Cross multiply
    8,829.64x = 13,225.74 × 6,043.24
  4. Step 4: Simplify right side
    8,829.64x = 79,926,321.00
  5. Step 5: Solve for x
    x = 79,926,321.00/8,829.64
  6. Step 6: Final answer
    x = 9,052.05

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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.