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Finding the Fourth Proportional to 28,742.90, 43,114.37 and 7,966.40

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Solution

The fourth proportional to 28,742.90, 43,114.37 and 7,966.40 is: 11,949.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,742.90 : 43,114.37 = 7,966.40 : x
  2. Step 2: Convert to fraction form
    28,742.90/43,114.37 = 7,966.40/x
  3. Step 3: Cross multiply
    28,742.90x = 43,114.37 × 7,966.40
  4. Step 4: Simplify right side
    28,742.90x = 343,466,277.34
  5. Step 5: Solve for x
    x = 343,466,277.34/28,742.90
  6. Step 6: Final answer
    x = 11,949.60

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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.