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Finding the Fourth Proportional to 11,701.65, 17,549.16 and 3,266.22

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Solution

The fourth proportional to 11,701.65, 17,549.16 and 3,266.22 is: 4,898.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.65 : 17,549.16 = 3,266.22 : x
  2. Step 2: Convert to fraction form
    11,701.65/17,549.16 = 3,266.22/x
  3. Step 3: Cross multiply
    11,701.65x = 17,549.16 × 3,266.22
  4. Step 4: Simplify right side
    11,701.65x = 57,319,417.38
  5. Step 5: Solve for x
    x = 57,319,417.38/11,701.65
  6. Step 6: Final answer
    x = 4,898.40

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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.