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Finding the Fourth Proportional to 7,132.59, 10,700.54 and 2,202.09

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Solution

The fourth proportional to 7,132.59, 10,700.54 and 2,202.09 is: 3,303.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.59 : 10,700.54 = 2,202.09 : x
  2. Step 2: Convert to fraction form
    7,132.59/10,700.54 = 2,202.09/x
  3. Step 3: Cross multiply
    7,132.59x = 10,700.54 × 2,202.09
  4. Step 4: Simplify right side
    7,132.59x = 23,563,541.12
  5. Step 5: Solve for x
    x = 23,563,541.12/7,132.59
  6. Step 6: Final answer
    x = 3,303.64

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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.