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Finding the Fourth Proportional to 7,952.31, 11,910.01 and 7,675.53

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Solution

The fourth proportional to 7,952.31, 11,910.01 and 7,675.53 is: 11,495.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.31 : 11,910.01 = 7,675.53 : x
  2. Step 2: Convert to fraction form
    7,952.31/11,910.01 = 7,675.53/x
  3. Step 3: Cross multiply
    7,952.31x = 11,910.01 × 7,675.53
  4. Step 4: Simplify right side
    7,952.31x = 91,415,541.13
  5. Step 5: Solve for x
    x = 91,415,541.13/7,952.31
  6. Step 6: Final answer
    x = 11,495.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.