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Finding the Fourth Proportional to 7,852.10, 11,778.17 and 1,929.02

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Solution

The fourth proportional to 7,852.10, 11,778.17 and 1,929.02 is: 2,893.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.10 : 11,778.17 = 1,929.02 : x
  2. Step 2: Convert to fraction form
    7,852.10/11,778.17 = 1,929.02/x
  3. Step 3: Cross multiply
    7,852.10x = 11,778.17 × 1,929.02
  4. Step 4: Simplify right side
    7,852.10x = 22,720,256.96
  5. Step 5: Solve for x
    x = 22,720,256.96/7,852.10
  6. Step 6: Final answer
    x = 2,893.53

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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.