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Finding the Fourth Proportional to 11,870.72, 17,808.24 and 4,077.80

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Solution

The fourth proportional to 11,870.72, 17,808.24 and 4,077.80 is: 6,117.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870.72 : 17,808.24 = 4,077.80 : x
  2. Step 2: Convert to fraction form
    11,870.72/17,808.24 = 4,077.80/x
  3. Step 3: Cross multiply
    11,870.72x = 17,808.24 × 4,077.80
  4. Step 4: Simplify right side
    11,870.72x = 72,618,441.07
  5. Step 5: Solve for x
    x = 72,618,441.07/11,870.72
  6. Step 6: Final answer
    x = 6,117.44

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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.