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Finding the Fourth Proportional to 7,713.09, 11,554.22 and 3,547.39

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Solution

The fourth proportional to 7,713.09, 11,554.22 and 3,547.39 is: 5,314.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.09 : 11,554.22 = 3,547.39 : x
  2. Step 2: Convert to fraction form
    7,713.09/11,554.22 = 3,547.39/x
  3. Step 3: Cross multiply
    7,713.09x = 11,554.22 × 3,547.39
  4. Step 4: Simplify right side
    7,713.09x = 40,987,324.49
  5. Step 5: Solve for x
    x = 40,987,324.49/7,713.09
  6. Step 6: Final answer
    x = 5,314.00

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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.