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Finding the Fourth Proportional to 11,870.82, 17,810.36 and 4,477.40

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Solution

The fourth proportional to 11,870.82, 17,810.36 and 4,477.40 is: 6,717.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870.82 : 17,810.36 = 4,477.40 : x
  2. Step 2: Convert to fraction form
    11,870.82/17,810.36 = 4,477.40/x
  3. Step 3: Cross multiply
    11,870.82x = 17,810.36 × 4,477.40
  4. Step 4: Simplify right side
    11,870.82x = 79,744,105.86
  5. Step 5: Solve for x
    x = 79,744,105.86/11,870.82
  6. Step 6: Final answer
    x = 6,717.66

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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.