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Finding the Fourth Proportional to 7,808.30, 11,712.46 and 2,878.10

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Solution

The fourth proportional to 7,808.30, 11,712.46 and 2,878.10 is: 4,317.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.30 : 11,712.46 = 2,878.10 : x
  2. Step 2: Convert to fraction form
    7,808.30/11,712.46 = 2,878.10/x
  3. Step 3: Cross multiply
    7,808.30x = 11,712.46 × 2,878.10
  4. Step 4: Simplify right side
    7,808.30x = 33,709,631.13
  5. Step 5: Solve for x
    x = 33,709,631.13/7,808.30
  6. Step 6: Final answer
    x = 4,317.15

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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.