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Finding the Fourth Proportional to 10,243.02, 15,365.34 and 5,046.06

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Solution

The fourth proportional to 10,243.02, 15,365.34 and 5,046.06 is: 7,569.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243.02 : 15,365.34 = 5,046.06 : x
  2. Step 2: Convert to fraction form
    10,243.02/15,365.34 = 5,046.06/x
  3. Step 3: Cross multiply
    10,243.02x = 15,365.34 × 5,046.06
  4. Step 4: Simplify right side
    10,243.02x = 77,534,427.56
  5. Step 5: Solve for x
    x = 77,534,427.56/10,243.02
  6. Step 6: Final answer
    x = 7,569.49

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