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Finding the Fourth Proportional to 7,710.10, 10,630.30 and 6,435.82

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Solution

The fourth proportional to 7,710.10, 10,630.30 and 6,435.82 is: 8,873.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.10 : 10,630.30 = 6,435.82 : x
  2. Step 2: Convert to fraction form
    7,710.10/10,630.30 = 6,435.82/x
  3. Step 3: Cross multiply
    7,710.10x = 10,630.30 × 6,435.82
  4. Step 4: Simplify right side
    7,710.10x = 68,414,697.35
  5. Step 5: Solve for x
    x = 68,414,697.35/7,710.10
  6. Step 6: Final answer
    x = 8,873.39

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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.