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Finding the Fourth Proportional to 10,952.14, 15,089.06 and 10,213.42

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Solution

The fourth proportional to 10,952.14, 15,089.06 and 10,213.42 is: 14,071.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.14 : 15,089.06 = 10,213.42 : x
  2. Step 2: Convert to fraction form
    10,952.14/15,089.06 = 10,213.42/x
  3. Step 3: Cross multiply
    10,952.14x = 15,089.06 × 10,213.42
  4. Step 4: Simplify right side
    10,952.14x = 154,110,907.19
  5. Step 5: Solve for x
    x = 154,110,907.19/10,952.14
  6. Step 6: Final answer
    x = 14,071.31

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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.