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Finding the Fourth Proportional to 7,565.36, 11,349.48 and 2,948

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Solution

The fourth proportional to 7,565.36, 11,349.48 and 2,948 is: 4,422.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.36 : 11,349.48 = 2,948 : x
  2. Step 2: Convert to fraction form
    7,565.36/11,349.48 = 2,948/x
  3. Step 3: Cross multiply
    7,565.36x = 11,349.48 × 2,948
  4. Step 4: Simplify right side
    7,565.36x = 33,458,267.04
  5. Step 5: Solve for x
    x = 33,458,267.04/7,565.36
  6. Step 6: Final answer
    x = 4,422.56

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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.