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Finding the Fourth Proportional to 11,733.68, 17,602.48 and 4,338.16

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Solution

The fourth proportional to 11,733.68, 17,602.48 and 4,338.16 is: 6,507.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,733.68 : 17,602.48 = 4,338.16 : x
  2. Step 2: Convert to fraction form
    11,733.68/17,602.48 = 4,338.16/x
  3. Step 3: Cross multiply
    11,733.68x = 17,602.48 × 4,338.16
  4. Step 4: Simplify right side
    11,733.68x = 76,362,374.64
  5. Step 5: Solve for x
    x = 76,362,374.64/11,733.68
  6. Step 6: Final answer
    x = 6,507.96

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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.