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Finding the Fourth Proportional to 7,808.85, 11,715.44 and 3,130.65

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Solution

The fourth proportional to 7,808.85, 11,715.44 and 3,130.65 is: 4,696.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.85 : 11,715.44 = 3,130.65 : x
  2. Step 2: Convert to fraction form
    7,808.85/11,715.44 = 3,130.65/x
  3. Step 3: Cross multiply
    7,808.85x = 11,715.44 × 3,130.65
  4. Step 4: Simplify right side
    7,808.85x = 36,676,926.58
  5. Step 5: Solve for x
    x = 36,676,926.58/7,808.85
  6. Step 6: Final answer
    x = 4,696.84

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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.