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Finding the Fourth Proportional to 7,808.96, 11,707.74 and 2,878.70

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Solution

The fourth proportional to 7,808.96, 11,707.74 and 2,878.70 is: 4,315.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.96 : 11,707.74 = 2,878.70 : x
  2. Step 2: Convert to fraction form
    7,808.96/11,707.74 = 2,878.70/x
  3. Step 3: Cross multiply
    7,808.96x = 11,707.74 × 2,878.70
  4. Step 4: Simplify right side
    7,808.96x = 33,703,071.14
  5. Step 5: Solve for x
    x = 33,703,071.14/7,808.96
  6. Step 6: Final answer
    x = 4,315.95

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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.