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Finding the Fourth Proportional to 11,642.37, 17,458.47 and 3,320.53

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Solution

The fourth proportional to 11,642.37, 17,458.47 and 3,320.53 is: 4,979.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.37 : 17,458.47 = 3,320.53 : x
  2. Step 2: Convert to fraction form
    11,642.37/17,458.47 = 3,320.53/x
  3. Step 3: Cross multiply
    11,642.37x = 17,458.47 × 3,320.53
  4. Step 4: Simplify right side
    11,642.37x = 57,971,373.39
  5. Step 5: Solve for x
    x = 57,971,373.39/11,642.37
  6. Step 6: Final answer
    x = 4,979.34

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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.