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Finding the Fourth Proportional to 8,829.64, 12,184.89 and 4,851.01

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Solution

The fourth proportional to 8,829.64, 12,184.89 and 4,851.01 is: 6,694.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,829.64 : 12,184.89 = 4,851.01 : x
  2. Step 2: Convert to fraction form
    8,829.64/12,184.89 = 4,851.01/x
  3. Step 3: Cross multiply
    8,829.64x = 12,184.89 × 4,851.01
  4. Step 4: Simplify right side
    8,829.64x = 59,109,023.24
  5. Step 5: Solve for x
    x = 59,109,023.24/8,829.64
  6. Step 6: Final answer
    x = 6,694.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.