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Finding the Fourth Proportional to 7,702.46, 10,624.49 and 5,050.04

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Solution

The fourth proportional to 7,702.46, 10,624.49 and 5,050.04 is: 6,965.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.46 : 10,624.49 = 5,050.04 : x
  2. Step 2: Convert to fraction form
    7,702.46/10,624.49 = 5,050.04/x
  3. Step 3: Cross multiply
    7,702.46x = 10,624.49 × 5,050.04
  4. Step 4: Simplify right side
    7,702.46x = 53,654,058.98
  5. Step 5: Solve for x
    x = 53,654,058.98/7,702.46
  6. Step 6: Final answer
    x = 6,965.84

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