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Finding the Fourth Proportional to 7,798.71, 11,702.52 and 4,104.30

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Solution

The fourth proportional to 7,798.71, 11,702.52 and 4,104.30 is: 6,158.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.71 : 11,702.52 = 4,104.30 : x
  2. Step 2: Convert to fraction form
    7,798.71/11,702.52 = 4,104.30/x
  3. Step 3: Cross multiply
    7,798.71x = 11,702.52 × 4,104.30
  4. Step 4: Simplify right side
    7,798.71x = 48,030,652.84
  5. Step 5: Solve for x
    x = 48,030,652.84/7,798.71
  6. Step 6: Final answer
    x = 6,158.79

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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.