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Finding the Fourth Proportional to 6,026.56, 9,076 and 5,304.04

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Solution

The fourth proportional to 6,026.56, 9,076 and 5,304.04 is: 7,987.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,026.56 : 9,076 = 5,304.04 : x
  2. Step 2: Convert to fraction form
    6,026.56/9,076 = 5,304.04/x
  3. Step 3: Cross multiply
    6,026.56x = 9,076 × 5,304.04
  4. Step 4: Simplify right side
    6,026.56x = 48,139,467.04
  5. Step 5: Solve for x
    x = 48,139,467.04/6,026.56
  6. Step 6: Final answer
    x = 7,987.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.