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Finding the Fourth Proportional to 7,569.40, 11,346.30 and 3,411.40

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Solution

The fourth proportional to 7,569.40, 11,346.30 and 3,411.40 is: 5,113.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.40 : 11,346.30 = 3,411.40 : x
  2. Step 2: Convert to fraction form
    7,569.40/11,346.30 = 3,411.40/x
  3. Step 3: Cross multiply
    7,569.40x = 11,346.30 × 3,411.40
  4. Step 4: Simplify right side
    7,569.40x = 38,706,767.82
  5. Step 5: Solve for x
    x = 38,706,767.82/7,569.40
  6. Step 6: Final answer
    x = 5,113.58

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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.