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Finding the Fourth Proportional to 10,533.96, 15,809.58 and 5,341.32

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Solution

The fourth proportional to 10,533.96, 15,809.58 and 5,341.32 is: 8,016.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,533.96 : 15,809.58 = 5,341.32 : x
  2. Step 2: Convert to fraction form
    10,533.96/15,809.58 = 5,341.32/x
  3. Step 3: Cross multiply
    10,533.96x = 15,809.58 × 5,341.32
  4. Step 4: Simplify right side
    10,533.96x = 84,444,025.85
  5. Step 5: Solve for x
    x = 84,444,025.85/10,533.96
  6. Step 6: Final answer
    x = 8,016.36

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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.