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Finding the Fourth Proportional to 6,411.87, 8,828.64 and 5,465.54

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Solution

The fourth proportional to 6,411.87, 8,828.64 and 5,465.54 is: 7,525.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.87 : 8,828.64 = 5,465.54 : x
  2. Step 2: Convert to fraction form
    6,411.87/8,828.64 = 5,465.54/x
  3. Step 3: Cross multiply
    6,411.87x = 8,828.64 × 5,465.54
  4. Step 4: Simplify right side
    6,411.87x = 48,253,294.53
  5. Step 5: Solve for x
    x = 48,253,294.53/6,411.87
  6. Step 6: Final answer
    x = 7,525.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.