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Finding the Fourth Proportional to 7,117.96, 10,688.46 and 6,818.44

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Solution

The fourth proportional to 7,117.96, 10,688.46 and 6,818.44 is: 10,238.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.96 : 10,688.46 = 6,818.44 : x
  2. Step 2: Convert to fraction form
    7,117.96/10,688.46 = 6,818.44/x
  3. Step 3: Cross multiply
    7,117.96x = 10,688.46 × 6,818.44
  4. Step 4: Simplify right side
    7,117.96x = 72,878,623.20
  5. Step 5: Solve for x
    x = 72,878,623.20/7,117.96
  6. Step 6: Final answer
    x = 10,238.70

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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.