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Finding the Fourth Proportional to 7,112.69, 10,670.05 and 3,780.07

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Solution

The fourth proportional to 7,112.69, 10,670.05 and 3,780.07 is: 5,670.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.69 : 10,670.05 = 3,780.07 : x
  2. Step 2: Convert to fraction form
    7,112.69/10,670.05 = 3,780.07/x
  3. Step 3: Cross multiply
    7,112.69x = 10,670.05 × 3,780.07
  4. Step 4: Simplify right side
    7,112.69x = 40,333,517.00
  5. Step 5: Solve for x
    x = 40,333,517.00/7,112.69
  6. Step 6: Final answer
    x = 5,670.64

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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.