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Finding the Fourth Proportional to 11,131.53, 15,365.07 and 7,358.06

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Solution

The fourth proportional to 11,131.53, 15,365.07 and 7,358.06 is: 10,156.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,131.53 : 15,365.07 = 7,358.06 : x
  2. Step 2: Convert to fraction form
    11,131.53/15,365.07 = 7,358.06/x
  3. Step 3: Cross multiply
    11,131.53x = 15,365.07 × 7,358.06
  4. Step 4: Simplify right side
    11,131.53x = 113,057,030.14
  5. Step 5: Solve for x
    x = 113,057,030.14/11,131.53
  6. Step 6: Final answer
    x = 10,156.47

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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.