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Finding the Fourth Proportional to 7,852.94, 11,781.14 and 4,348.06

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Solution

The fourth proportional to 7,852.94, 11,781.14 and 4,348.06 is: 6,523.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.94 : 11,781.14 = 4,348.06 : x
  2. Step 2: Convert to fraction form
    7,852.94/11,781.14 = 4,348.06/x
  3. Step 3: Cross multiply
    7,852.94x = 11,781.14 × 4,348.06
  4. Step 4: Simplify right side
    7,852.94x = 51,225,103.59
  5. Step 5: Solve for x
    x = 51,225,103.59/7,852.94
  6. Step 6: Final answer
    x = 6,523.05

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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.