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Finding the Fourth Proportional to 11,377.80, 17,070.04 and 5,835

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Solution

The fourth proportional to 11,377.80, 17,070.04 and 5,835 is: 8,754.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,377.80 : 17,070.04 = 5,835 : x
  2. Step 2: Convert to fraction form
    11,377.80/17,070.04 = 5,835/x
  3. Step 3: Cross multiply
    11,377.80x = 17,070.04 × 5,835
  4. Step 4: Simplify right side
    11,377.80x = 99,603,683.40
  5. Step 5: Solve for x
    x = 99,603,683.40/11,377.80
  6. Step 6: Final answer
    x = 8,754.21

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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.