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Finding the Fourth Proportional to 7,693.81, 10,661.31 and 7,225.63

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Solution

The fourth proportional to 7,693.81, 10,661.31 and 7,225.63 is: 10,012.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.81 : 10,661.31 = 7,225.63 : x
  2. Step 2: Convert to fraction form
    7,693.81/10,661.31 = 7,225.63/x
  3. Step 3: Cross multiply
    7,693.81x = 10,661.31 × 7,225.63
  4. Step 4: Simplify right side
    7,693.81x = 77,034,654.72
  5. Step 5: Solve for x
    x = 77,034,654.72/7,693.81
  6. Step 6: Final answer
    x = 10,012.55

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.