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Finding the Fourth Proportional to 7,477.72, 11,216.46 and 2,547.32

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Solution

The fourth proportional to 7,477.72, 11,216.46 and 2,547.32 is: 3,820.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.72 : 11,216.46 = 2,547.32 : x
  2. Step 2: Convert to fraction form
    7,477.72/11,216.46 = 2,547.32/x
  3. Step 3: Cross multiply
    7,477.72x = 11,216.46 × 2,547.32
  4. Step 4: Simplify right side
    7,477.72x = 28,571,912.89
  5. Step 5: Solve for x
    x = 28,571,912.89/7,477.72
  6. Step 6: Final answer
    x = 3,820.94

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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.