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Finding the Fourth Proportional to 10,384.32, 15,572.80 and 3,362.64

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Solution

The fourth proportional to 10,384.32, 15,572.80 and 3,362.64 is: 5,042.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.32 : 15,572.80 = 3,362.64 : x
  2. Step 2: Convert to fraction form
    10,384.32/15,572.80 = 3,362.64/x
  3. Step 3: Cross multiply
    10,384.32x = 15,572.80 × 3,362.64
  4. Step 4: Simplify right side
    10,384.32x = 52,365,720.19
  5. Step 5: Solve for x
    x = 52,365,720.19/10,384.32
  6. Step 6: Final answer
    x = 5,042.77

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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.