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Finding the Fourth Proportional to 10,995.48, 15,162.39 and 7,642.08

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Solution

The fourth proportional to 10,995.48, 15,162.39 and 7,642.08 is: 10,538.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,995.48 : 15,162.39 = 7,642.08 : x
  2. Step 2: Convert to fraction form
    10,995.48/15,162.39 = 7,642.08/x
  3. Step 3: Cross multiply
    10,995.48x = 15,162.39 × 7,642.08
  4. Step 4: Simplify right side
    10,995.48x = 115,872,197.37
  5. Step 5: Solve for x
    x = 115,872,197.37/10,995.48
  6. Step 6: Final answer
    x = 10,538.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.