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Finding the Fourth Proportional to 7,854.63, 10,838.77 and 4,496.64

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Solution

The fourth proportional to 7,854.63, 10,838.77 and 4,496.64 is: 6,205.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.63 : 10,838.77 = 4,496.64 : x
  2. Step 2: Convert to fraction form
    7,854.63/10,838.77 = 4,496.64/x
  3. Step 3: Cross multiply
    7,854.63x = 10,838.77 × 4,496.64
  4. Step 4: Simplify right side
    7,854.63x = 48,738,046.73
  5. Step 5: Solve for x
    x = 48,738,046.73/7,854.63
  6. Step 6: Final answer
    x = 6,205.01

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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.