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Finding the Fourth Proportional to 7,800.32, 11,702.08 and 2,606.24

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Solution

The fourth proportional to 7,800.32, 11,702.08 and 2,606.24 is: 3,909.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.32 : 11,702.08 = 2,606.24 : x
  2. Step 2: Convert to fraction form
    7,800.32/11,702.08 = 2,606.24/x
  3. Step 3: Cross multiply
    7,800.32x = 11,702.08 × 2,606.24
  4. Step 4: Simplify right side
    7,800.32x = 30,498,428.98
  5. Step 5: Solve for x
    x = 30,498,428.98/7,800.32
  6. Step 6: Final answer
    x = 3,909.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.