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Finding the Fourth Proportional to 10,024.56, 15,035.76 and 5,097.33

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Solution

The fourth proportional to 10,024.56, 15,035.76 and 5,097.33 is: 7,645.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024.56 : 15,035.76 = 5,097.33 : x
  2. Step 2: Convert to fraction form
    10,024.56/15,035.76 = 5,097.33/x
  3. Step 3: Cross multiply
    10,024.56x = 15,035.76 × 5,097.33
  4. Step 4: Simplify right side
    10,024.56x = 76,642,230.52
  5. Step 5: Solve for x
    x = 76,642,230.52/10,024.56
  6. Step 6: Final answer
    x = 7,645.45

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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.