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Finding the Fourth Proportional to 7,043.68, 10,567.14 and 3,580.12

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Solution

The fourth proportional to 7,043.68, 10,567.14 and 3,580.12 is: 5,371.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,043.68 : 10,567.14 = 3,580.12 : x
  2. Step 2: Convert to fraction form
    7,043.68/10,567.14 = 3,580.12/x
  3. Step 3: Cross multiply
    7,043.68x = 10,567.14 × 3,580.12
  4. Step 4: Simplify right side
    7,043.68x = 37,831,629.26
  5. Step 5: Solve for x
    x = 37,831,629.26/7,043.68
  6. Step 6: Final answer
    x = 5,371.00

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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.