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Finding the Fourth Proportional to 8,470.02, 12,705.03 and 4,582.02

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Solution

The fourth proportional to 8,470.02, 12,705.03 and 4,582.02 is: 6,873.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.02 : 12,705.03 = 4,582.02 : x
  2. Step 2: Convert to fraction form
    8,470.02/12,705.03 = 4,582.02/x
  3. Step 3: Cross multiply
    8,470.02x = 12,705.03 × 4,582.02
  4. Step 4: Simplify right side
    8,470.02x = 58,214,701.56
  5. Step 5: Solve for x
    x = 58,214,701.56/8,470.02
  6. Step 6: Final answer
    x = 6,873.03

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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.