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Finding the Fourth Proportional to 7,820.68, 10,793.94 and 4,677.16

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Solution

The fourth proportional to 7,820.68, 10,793.94 and 4,677.16 is: 6,455.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.68 : 10,793.94 = 4,677.16 : x
  2. Step 2: Convert to fraction form
    7,820.68/10,793.94 = 4,677.16/x
  3. Step 3: Cross multiply
    7,820.68x = 10,793.94 × 4,677.16
  4. Step 4: Simplify right side
    7,820.68x = 50,484,984.41
  5. Step 5: Solve for x
    x = 50,484,984.41/7,820.68
  6. Step 6: Final answer
    x = 6,455.32

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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.