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Finding the Fourth Proportional to 11,705.77, 17,559.17 and 3,386.63

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Solution

The fourth proportional to 11,705.77, 17,559.17 and 3,386.63 is: 5,080.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.77 : 17,559.17 = 3,386.63 : x
  2. Step 2: Convert to fraction form
    11,705.77/17,559.17 = 3,386.63/x
  3. Step 3: Cross multiply
    11,705.77x = 17,559.17 × 3,386.63
  4. Step 4: Simplify right side
    11,705.77x = 59,466,307.17
  5. Step 5: Solve for x
    x = 59,466,307.17/11,705.77
  6. Step 6: Final answer
    x = 5,080.09

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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.