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Finding the Fourth Proportional to 7,677.12, 11,506.56 and 4,392.48

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Solution

The fourth proportional to 7,677.12, 11,506.56 and 4,392.48 is: 6,583.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.12 : 11,506.56 = 4,392.48 : x
  2. Step 2: Convert to fraction form
    7,677.12/11,506.56 = 4,392.48/x
  3. Step 3: Cross multiply
    7,677.12x = 11,506.56 × 4,392.48
  4. Step 4: Simplify right side
    7,677.12x = 50,542,334.67
  5. Step 5: Solve for x
    x = 50,542,334.67/7,677.12
  6. Step 6: Final answer
    x = 6,583.50

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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.