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Finding the Fourth Proportional to 10,355.78, 15,533.85 and 3,430.46

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Solution

The fourth proportional to 10,355.78, 15,533.85 and 3,430.46 is: 5,145.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,355.78 : 15,533.85 = 3,430.46 : x
  2. Step 2: Convert to fraction form
    10,355.78/15,533.85 = 3,430.46/x
  3. Step 3: Cross multiply
    10,355.78x = 15,533.85 × 3,430.46
  4. Step 4: Simplify right side
    10,355.78x = 53,288,251.07
  5. Step 5: Solve for x
    x = 53,288,251.07/10,355.78
  6. Step 6: Final answer
    x = 5,145.75

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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.