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Finding the Fourth Proportional to 7,395.64, 11,029.31 and 6,307

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Solution

The fourth proportional to 7,395.64, 11,029.31 and 6,307 is: 9,405.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,395.64 : 11,029.31 = 6,307 : x
  2. Step 2: Convert to fraction form
    7,395.64/11,029.31 = 6,307/x
  3. Step 3: Cross multiply
    7,395.64x = 11,029.31 × 6,307
  4. Step 4: Simplify right side
    7,395.64x = 69,561,858.17
  5. Step 5: Solve for x
    x = 69,561,858.17/7,395.64
  6. Step 6: Final answer
    x = 9,405.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.