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Finding the Fourth Proportional to 10,141.14, 14,008.47 and 7,642.14

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Solution

The fourth proportional to 10,141.14, 14,008.47 and 7,642.14 is: 10,556.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,141.14 : 14,008.47 = 7,642.14 : x
  2. Step 2: Convert to fraction form
    10,141.14/14,008.47 = 7,642.14/x
  3. Step 3: Cross multiply
    10,141.14x = 14,008.47 × 7,642.14
  4. Step 4: Simplify right side
    10,141.14x = 107,054,688.93
  5. Step 5: Solve for x
    x = 107,054,688.93/10,141.14
  6. Step 6: Final answer
    x = 10,556.47

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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.