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Finding the Fourth Proportional to 11,533.68, 17,299.80 and 4,603.20

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Solution

The fourth proportional to 11,533.68, 17,299.80 and 4,603.20 is: 6,904.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.68 : 17,299.80 = 4,603.20 : x
  2. Step 2: Convert to fraction form
    11,533.68/17,299.80 = 4,603.20/x
  3. Step 3: Cross multiply
    11,533.68x = 17,299.80 × 4,603.20
  4. Step 4: Simplify right side
    11,533.68x = 79,634,439.36
  5. Step 5: Solve for x
    x = 79,634,439.36/11,533.68
  6. Step 6: Final answer
    x = 6,904.51

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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.