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Finding the Fourth Proportional to 8,484.24, 12,725.72 and 4,321.64

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Solution

The fourth proportional to 8,484.24, 12,725.72 and 4,321.64 is: 6,482.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.24 : 12,725.72 = 4,321.64 : x
  2. Step 2: Convert to fraction form
    8,484.24/12,725.72 = 4,321.64/x
  3. Step 3: Cross multiply
    8,484.24x = 12,725.72 × 4,321.64
  4. Step 4: Simplify right side
    8,484.24x = 54,995,980.58
  5. Step 5: Solve for x
    x = 54,995,980.58/8,484.24
  6. Step 6: Final answer
    x = 6,482.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.