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Finding the Fourth Proportional to 7,754.35, 10,702.55 and 4,609.93

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Solution

The fourth proportional to 7,754.35, 10,702.55 and 4,609.93 is: 6,362.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.35 : 10,702.55 = 4,609.93 : x
  2. Step 2: Convert to fraction form
    7,754.35/10,702.55 = 4,609.93/x
  3. Step 3: Cross multiply
    7,754.35x = 10,702.55 × 4,609.93
  4. Step 4: Simplify right side
    7,754.35x = 49,338,006.32
  5. Step 5: Solve for x
    x = 49,338,006.32/7,754.35
  6. Step 6: Final answer
    x = 6,362.62

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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.