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Finding the Fourth Proportional to 7,717.70, 10,650.35 and 4,360.46

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Solution

The fourth proportional to 7,717.70, 10,650.35 and 4,360.46 is: 6,017.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.70 : 10,650.35 = 4,360.46 : x
  2. Step 2: Convert to fraction form
    7,717.70/10,650.35 = 4,360.46/x
  3. Step 3: Cross multiply
    7,717.70x = 10,650.35 × 4,360.46
  4. Step 4: Simplify right side
    7,717.70x = 46,440,350.11
  5. Step 5: Solve for x
    x = 46,440,350.11/7,717.70
  6. Step 6: Final answer
    x = 6,017.39

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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.