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Finding the Fourth Proportional to 6,854.57, 10,263.37 and 4,476.76

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Solution

The fourth proportional to 6,854.57, 10,263.37 and 4,476.76 is: 6,703.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.57 : 10,263.37 = 4,476.76 : x
  2. Step 2: Convert to fraction form
    6,854.57/10,263.37 = 4,476.76/x
  3. Step 3: Cross multiply
    6,854.57x = 10,263.37 × 4,476.76
  4. Step 4: Simplify right side
    6,854.57x = 45,946,644.28
  5. Step 5: Solve for x
    x = 45,946,644.28/6,854.57
  6. Step 6: Final answer
    x = 6,703.07

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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.