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Finding the Fourth Proportional to 7,878.28, 11,820.18 and 5,256.28

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Solution

The fourth proportional to 7,878.28, 11,820.18 and 5,256.28 is: 7,886.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.28 : 11,820.18 = 5,256.28 : x
  2. Step 2: Convert to fraction form
    7,878.28/11,820.18 = 5,256.28/x
  3. Step 3: Cross multiply
    7,878.28x = 11,820.18 × 5,256.28
  4. Step 4: Simplify right side
    7,878.28x = 62,130,175.73
  5. Step 5: Solve for x
    x = 62,130,175.73/7,878.28
  6. Step 6: Final answer
    x = 7,886.26

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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.