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Finding the Fourth Proportional to 8,532.19, 12,794.77 and 5,023

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Solution

The fourth proportional to 8,532.19, 12,794.77 and 5,023 is: 7,532.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.19 : 12,794.77 = 5,023 : x
  2. Step 2: Convert to fraction form
    8,532.19/12,794.77 = 5,023/x
  3. Step 3: Cross multiply
    8,532.19x = 12,794.77 × 5,023
  4. Step 4: Simplify right side
    8,532.19x = 64,268,129.71
  5. Step 5: Solve for x
    x = 64,268,129.71/8,532.19
  6. Step 6: Final answer
    x = 7,532.43

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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.