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Finding the Fourth Proportional to 10,499.23, 15,748.82 and 7,202.34

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Solution

The fourth proportional to 10,499.23, 15,748.82 and 7,202.34 is: 10,803.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.23 : 15,748.82 = 7,202.34 : x
  2. Step 2: Convert to fraction form
    10,499.23/15,748.82 = 7,202.34/x
  3. Step 3: Cross multiply
    10,499.23x = 15,748.82 × 7,202.34
  4. Step 4: Simplify right side
    10,499.23x = 113,428,356.24
  5. Step 5: Solve for x
    x = 113,428,356.24/10,499.23
  6. Step 6: Final answer
    x = 10,803.49

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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.