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Finding the Fourth Proportional to 8,484.64, 12,724.48 and 3,554.16

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Solution

The fourth proportional to 8,484.64, 12,724.48 and 3,554.16 is: 5,330.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.64 : 12,724.48 = 3,554.16 : x
  2. Step 2: Convert to fraction form
    8,484.64/12,724.48 = 3,554.16/x
  3. Step 3: Cross multiply
    8,484.64x = 12,724.48 × 3,554.16
  4. Step 4: Simplify right side
    8,484.64x = 45,224,837.84
  5. Step 5: Solve for x
    x = 45,224,837.84/8,484.64
  6. Step 6: Final answer
    x = 5,330.20

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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.