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Finding the Fourth Proportional to 7,808.40, 10,774.68 and 4,664.04

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Solution

The fourth proportional to 7,808.40, 10,774.68 and 4,664.04 is: 6,435.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.40 : 10,774.68 = 4,664.04 : x
  2. Step 2: Convert to fraction form
    7,808.40/10,774.68 = 4,664.04/x
  3. Step 3: Cross multiply
    7,808.40x = 10,774.68 × 4,664.04
  4. Step 4: Simplify right side
    7,808.40x = 50,253,538.51
  5. Step 5: Solve for x
    x = 50,253,538.51/7,808.40
  6. Step 6: Final answer
    x = 6,435.83

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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.