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Finding the Fourth Proportional to 7,478.24, 11,268.02 and 6,208.16

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Solution

The fourth proportional to 7,478.24, 11,268.02 and 6,208.16 is: 9,354.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.24 : 11,268.02 = 6,208.16 : x
  2. Step 2: Convert to fraction form
    7,478.24/11,268.02 = 6,208.16/x
  3. Step 3: Cross multiply
    7,478.24x = 11,268.02 × 6,208.16
  4. Step 4: Simplify right side
    7,478.24x = 69,953,671.04
  5. Step 5: Solve for x
    x = 69,953,671.04/7,478.24
  6. Step 6: Final answer
    x = 9,354.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.