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Finding the Fourth Proportional to 7,722.34, 10,658.59 and 4,536

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Solution

The fourth proportional to 7,722.34, 10,658.59 and 4,536 is: 6,260.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.34 : 10,658.59 = 4,536 : x
  2. Step 2: Convert to fraction form
    7,722.34/10,658.59 = 4,536/x
  3. Step 3: Cross multiply
    7,722.34x = 10,658.59 × 4,536
  4. Step 4: Simplify right side
    7,722.34x = 48,347,352.90
  5. Step 5: Solve for x
    x = 48,347,352.90/7,722.34
  6. Step 6: Final answer
    x = 6,260.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.