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Finding the Fourth Proportional to 7,108.68, 9,802.55 and 4,957.73

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Solution

The fourth proportional to 7,108.68, 9,802.55 and 4,957.73 is: 6,836.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,108.68 : 9,802.55 = 4,957.73 : x
  2. Step 2: Convert to fraction form
    7,108.68/9,802.55 = 4,957.73/x
  3. Step 3: Cross multiply
    7,108.68x = 9,802.55 × 4,957.73
  4. Step 4: Simplify right side
    7,108.68x = 48,598,322.41
  5. Step 5: Solve for x
    x = 48,598,322.41/7,108.68
  6. Step 6: Final answer
    x = 6,836.48

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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.