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Finding the Fourth Proportional to 7,984.71, 11,020.02 and 4,627.65

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Solution

The fourth proportional to 7,984.71, 11,020.02 and 4,627.65 is: 6,386.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.71 : 11,020.02 = 4,627.65 : x
  2. Step 2: Convert to fraction form
    7,984.71/11,020.02 = 4,627.65/x
  3. Step 3: Cross multiply
    7,984.71x = 11,020.02 × 4,627.65
  4. Step 4: Simplify right side
    7,984.71x = 50,996,795.55
  5. Step 5: Solve for x
    x = 50,996,795.55/7,984.71
  6. Step 6: Final answer
    x = 6,386.81

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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.