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Finding the Fourth Proportional to 11,140.66, 16,710.17 and 4,117.40

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Solution

The fourth proportional to 11,140.66, 16,710.17 and 4,117.40 is: 6,175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,140.66 : 16,710.17 = 4,117.40 : x
  2. Step 2: Convert to fraction form
    11,140.66/16,710.17 = 4,117.40/x
  3. Step 3: Cross multiply
    11,140.66x = 16,710.17 × 4,117.40
  4. Step 4: Simplify right side
    11,140.66x = 68,802,427.92
  5. Step 5: Solve for x
    x = 68,802,427.92/11,140.66
  6. Step 6: Final answer
    x = 6,175.80

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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.