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Finding the Fourth Proportional to 10,428.54, 15,632.28 and 6,535.68

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Solution

The fourth proportional to 10,428.54, 15,632.28 and 6,535.68 is: 9,796.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.54 : 15,632.28 = 6,535.68 : x
  2. Step 2: Convert to fraction form
    10,428.54/15,632.28 = 6,535.68/x
  3. Step 3: Cross multiply
    10,428.54x = 15,632.28 × 6,535.68
  4. Step 4: Simplify right side
    10,428.54x = 102,167,579.75
  5. Step 5: Solve for x
    x = 102,167,579.75/10,428.54
  6. Step 6: Final answer
    x = 9,796.92

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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.