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Finding the Fourth Proportional to 7,133.60, 10,699.40 and 2,201.84

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Solution

The fourth proportional to 7,133.60, 10,699.40 and 2,201.84 is: 3,302.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.60 : 10,699.40 = 2,201.84 : x
  2. Step 2: Convert to fraction form
    7,133.60/10,699.40 = 2,201.84/x
  3. Step 3: Cross multiply
    7,133.60x = 10,699.40 × 2,201.84
  4. Step 4: Simplify right side
    7,133.60x = 23,558,366.90
  5. Step 5: Solve for x
    x = 23,558,366.90/7,133.60
  6. Step 6: Final answer
    x = 3,302.45

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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.