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Finding the Fourth Proportional to 7,814.84, 10,780.44 and 4,626.32

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Solution

The fourth proportional to 7,814.84, 10,780.44 and 4,626.32 is: 6,381.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.84 : 10,780.44 = 4,626.32 : x
  2. Step 2: Convert to fraction form
    7,814.84/10,780.44 = 4,626.32/x
  3. Step 3: Cross multiply
    7,814.84x = 10,780.44 × 4,626.32
  4. Step 4: Simplify right side
    7,814.84x = 49,873,765.18
  5. Step 5: Solve for x
    x = 49,873,765.18/7,814.84
  6. Step 6: Final answer
    x = 6,381.93

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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.