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Finding the Fourth Proportional to 7,784.58, 11,678.16 and 2,861.13

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Solution

The fourth proportional to 7,784.58, 11,678.16 and 2,861.13 is: 4,292.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.58 : 11,678.16 = 2,861.13 : x
  2. Step 2: Convert to fraction form
    7,784.58/11,678.16 = 2,861.13/x
  3. Step 3: Cross multiply
    7,784.58x = 11,678.16 × 2,861.13
  4. Step 4: Simplify right side
    7,784.58x = 33,412,733.92
  5. Step 5: Solve for x
    x = 33,412,733.92/7,784.58
  6. Step 6: Final answer
    x = 4,292.17

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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.