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Finding the Fourth Proportional to 7,713.75, 11,555.15 and 3,547.95

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Solution

The fourth proportional to 7,713.75, 11,555.15 and 3,547.95 is: 5,314.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.75 : 11,555.15 = 3,547.95 : x
  2. Step 2: Convert to fraction form
    7,713.75/11,555.15 = 3,547.95/x
  3. Step 3: Cross multiply
    7,713.75x = 11,555.15 × 3,547.95
  4. Step 4: Simplify right side
    7,713.75x = 40,997,076.70
  5. Step 5: Solve for x
    x = 40,997,076.70/7,713.75
  6. Step 6: Final answer
    x = 5,314.80

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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.