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Finding the Fourth Proportional to 7,123.71, 10,688.07 and 3,177.80

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Solution

The fourth proportional to 7,123.71, 10,688.07 and 3,177.80 is: 4,767.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.71 : 10,688.07 = 3,177.80 : x
  2. Step 2: Convert to fraction form
    7,123.71/10,688.07 = 3,177.80/x
  3. Step 3: Cross multiply
    7,123.71x = 10,688.07 × 3,177.80
  4. Step 4: Simplify right side
    7,123.71x = 33,964,547.40
  5. Step 5: Solve for x
    x = 33,964,547.40/7,123.71
  6. Step 6: Final answer
    x = 4,767.81

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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.