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Finding the Fourth Proportional to 8,847.60, 12,207.48 and 5,700

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Solution

The fourth proportional to 8,847.60, 12,207.48 and 5,700 is: 7,864.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,847.60 : 12,207.48 = 5,700 : x
  2. Step 2: Convert to fraction form
    8,847.60/12,207.48 = 5,700/x
  3. Step 3: Cross multiply
    8,847.60x = 12,207.48 × 5,700
  4. Step 4: Simplify right side
    8,847.60x = 69,582,636
  5. Step 5: Solve for x
    x = 69,582,636/8,847.60
  6. Step 6: Final answer
    x = 7,864.58

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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.