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Finding the Fourth Proportional to 7,112.12, 10,642.14 and 6,256.76

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Solution

The fourth proportional to 7,112.12, 10,642.14 and 6,256.76 is: 9,362.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.12 : 10,642.14 = 6,256.76 : x
  2. Step 2: Convert to fraction form
    7,112.12/10,642.14 = 6,256.76/x
  3. Step 3: Cross multiply
    7,112.12x = 10,642.14 × 6,256.76
  4. Step 4: Simplify right side
    7,112.12x = 66,585,315.87
  5. Step 5: Solve for x
    x = 66,585,315.87/7,112.12
  6. Step 6: Final answer
    x = 9,362.23

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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.