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Finding the Fourth Proportional to 10,533.76, 15,803.60 and 4,611.17

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Solution

The fourth proportional to 10,533.76, 15,803.60 and 4,611.17 is: 6,918.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,533.76 : 15,803.60 = 4,611.17 : x
  2. Step 2: Convert to fraction form
    10,533.76/15,803.60 = 4,611.17/x
  3. Step 3: Cross multiply
    10,533.76x = 15,803.60 × 4,611.17
  4. Step 4: Simplify right side
    10,533.76x = 72,873,086.21
  5. Step 5: Solve for x
    x = 72,873,086.21/10,533.76
  6. Step 6: Final answer
    x = 6,918.05

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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.