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Finding the Fourth Proportional to 10,355.80, 15,533.70 and 3,430.30

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Solution

The fourth proportional to 10,355.80, 15,533.70 and 3,430.30 is: 5,145.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,355.80 : 15,533.70 = 3,430.30 : x
  2. Step 2: Convert to fraction form
    10,355.80/15,533.70 = 3,430.30/x
  3. Step 3: Cross multiply
    10,355.80x = 15,533.70 × 3,430.30
  4. Step 4: Simplify right side
    10,355.80x = 53,285,251.11
  5. Step 5: Solve for x
    x = 53,285,251.11/10,355.80
  6. Step 6: Final answer
    x = 5,145.45

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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.