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Finding the Fourth Proportional to 7,107.84, 10,660.80 and 1,914.12

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Solution

The fourth proportional to 7,107.84, 10,660.80 and 1,914.12 is: 2,870.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.84 : 10,660.80 = 1,914.12 : x
  2. Step 2: Convert to fraction form
    7,107.84/10,660.80 = 1,914.12/x
  3. Step 3: Cross multiply
    7,107.84x = 10,660.80 × 1,914.12
  4. Step 4: Simplify right side
    7,107.84x = 20,406,050.50
  5. Step 5: Solve for x
    x = 20,406,050.50/7,107.84
  6. Step 6: Final answer
    x = 2,870.92

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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.