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Finding the Fourth Proportional to 7,710.92, 11,567.82 and 3,094.28

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Solution

The fourth proportional to 7,710.92, 11,567.82 and 3,094.28 is: 4,642.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.92 : 11,567.82 = 3,094.28 : x
  2. Step 2: Convert to fraction form
    7,710.92/11,567.82 = 3,094.28/x
  3. Step 3: Cross multiply
    7,710.92x = 11,567.82 × 3,094.28
  4. Step 4: Simplify right side
    7,710.92x = 35,794,074.07
  5. Step 5: Solve for x
    x = 35,794,074.07/7,710.92
  6. Step 6: Final answer
    x = 4,642.00

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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.