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Finding the Fourth Proportional to 7,774.32, 11,657.60 and 4,614.98

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Solution

The fourth proportional to 7,774.32, 11,657.60 and 4,614.98 is: 6,920.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.32 : 11,657.60 = 4,614.98 : x
  2. Step 2: Convert to fraction form
    7,774.32/11,657.60 = 4,614.98/x
  3. Step 3: Cross multiply
    7,774.32x = 11,657.60 × 4,614.98
  4. Step 4: Simplify right side
    7,774.32x = 53,799,590.85
  5. Step 5: Solve for x
    x = 53,799,590.85/7,774.32
  6. Step 6: Final answer
    x = 6,920.17

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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.