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Finding the Fourth Proportional to 8,705.52, 13,059.02 and 2,465.56

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Solution

The fourth proportional to 8,705.52, 13,059.02 and 2,465.56 is: 3,698.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,705.52 : 13,059.02 = 2,465.56 : x
  2. Step 2: Convert to fraction form
    8,705.52/13,059.02 = 2,465.56/x
  3. Step 3: Cross multiply
    8,705.52x = 13,059.02 × 2,465.56
  4. Step 4: Simplify right side
    8,705.52x = 32,197,797.35
  5. Step 5: Solve for x
    x = 32,197,797.35/8,705.52
  6. Step 6: Final answer
    x = 3,698.55

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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.