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Finding the Fourth Proportional to 8,713.46, 13,069.47 and 4,032.50

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Solution

The fourth proportional to 8,713.46, 13,069.47 and 4,032.50 is: 6,048.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.46 : 13,069.47 = 4,032.50 : x
  2. Step 2: Convert to fraction form
    8,713.46/13,069.47 = 4,032.50/x
  3. Step 3: Cross multiply
    8,713.46x = 13,069.47 × 4,032.50
  4. Step 4: Simplify right side
    8,713.46x = 52,702,637.78
  5. Step 5: Solve for x
    x = 52,702,637.78/8,713.46
  6. Step 6: Final answer
    x = 6,048.42

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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.