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Finding the Fourth Proportional to 10,356.32, 15,534.64 and 5,768.48

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Solution

The fourth proportional to 10,356.32, 15,534.64 and 5,768.48 is: 8,652.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.32 : 15,534.64 = 5,768.48 : x
  2. Step 2: Convert to fraction form
    10,356.32/15,534.64 = 5,768.48/x
  3. Step 3: Cross multiply
    10,356.32x = 15,534.64 × 5,768.48
  4. Step 4: Simplify right side
    10,356.32x = 89,611,260.15
  5. Step 5: Solve for x
    x = 89,611,260.15/10,356.32
  6. Step 6: Final answer
    x = 8,652.81

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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.