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Finding the Fourth Proportional to 8,656.02, 12,984.03 and 2,416.05

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Solution

The fourth proportional to 8,656.02, 12,984.03 and 2,416.05 is: 3,624.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,656.02 : 12,984.03 = 2,416.05 : x
  2. Step 2: Convert to fraction form
    8,656.02/12,984.03 = 2,416.05/x
  3. Step 3: Cross multiply
    8,656.02x = 12,984.03 × 2,416.05
  4. Step 4: Simplify right side
    8,656.02x = 31,370,065.68
  5. Step 5: Solve for x
    x = 31,370,065.68/8,656.02
  6. Step 6: Final answer
    x = 3,624.08

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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.