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Finding the Fourth Proportional to 8,435.64, 11,640.18 and 5,078.40

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Solution

The fourth proportional to 8,435.64, 11,640.18 and 5,078.40 is: 7,007.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.64 : 11,640.18 = 5,078.40 : x
  2. Step 2: Convert to fraction form
    8,435.64/11,640.18 = 5,078.40/x
  3. Step 3: Cross multiply
    8,435.64x = 11,640.18 × 5,078.40
  4. Step 4: Simplify right side
    8,435.64x = 59,113,490.11
  5. Step 5: Solve for x
    x = 59,113,490.11/8,435.64
  6. Step 6: Final answer
    x = 7,007.59

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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.