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Finding the Fourth Proportional to 11,417.85, 17,083.70 and 6,740.40

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Solution

The fourth proportional to 11,417.85, 17,083.70 and 6,740.40 is: 10,085.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.85 : 17,083.70 = 6,740.40 : x
  2. Step 2: Convert to fraction form
    11,417.85/17,083.70 = 6,740.40/x
  3. Step 3: Cross multiply
    11,417.85x = 17,083.70 × 6,740.40
  4. Step 4: Simplify right side
    11,417.85x = 115,151,000.97
  5. Step 5: Solve for x
    x = 115,151,000.97/11,417.85
  6. Step 6: Final answer
    x = 10,085.18

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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.