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Finding the Fourth Proportional to 7,340, 11,004.76 and 3,442.28

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Solution

The fourth proportional to 7,340, 11,004.76 and 3,442.28 is: 5,160.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,340 : 11,004.76 = 3,442.28 : x
  2. Step 2: Convert to fraction form
    7,340/11,004.76 = 3,442.28/x
  3. Step 3: Cross multiply
    7,340x = 11,004.76 × 3,442.28
  4. Step 4: Simplify right side
    7,340x = 37,881,465.25
  5. Step 5: Solve for x
    x = 37,881,465.25/7,340
  6. Step 6: Final answer
    x = 5,160.96

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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.