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Finding the Fourth Proportional to 7,395.12, 11,013.12 and 6,948

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Solution

The fourth proportional to 7,395.12, 11,013.12 and 6,948 is: 10,347.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,395.12 : 11,013.12 = 6,948 : x
  2. Step 2: Convert to fraction form
    7,395.12/11,013.12 = 6,948/x
  3. Step 3: Cross multiply
    7,395.12x = 11,013.12 × 6,948
  4. Step 4: Simplify right side
    7,395.12x = 76,519,157.76
  5. Step 5: Solve for x
    x = 76,519,157.76/7,395.12
  6. Step 6: Final answer
    x = 10,347.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.