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Finding the Fourth Proportional to 7,782.66, 11,673.36 and 2,852.10

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Solution

The fourth proportional to 7,782.66, 11,673.36 and 2,852.10 is: 4,277.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.66 : 11,673.36 = 2,852.10 : x
  2. Step 2: Convert to fraction form
    7,782.66/11,673.36 = 2,852.10/x
  3. Step 3: Cross multiply
    7,782.66x = 11,673.36 × 2,852.10
  4. Step 4: Simplify right side
    7,782.66x = 33,293,590.06
  5. Step 5: Solve for x
    x = 33,293,590.06/7,782.66
  6. Step 6: Final answer
    x = 4,277.92

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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.