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Finding the Fourth Proportional to 7,477.02, 11,215.53 and 2,282.90

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Solution

The fourth proportional to 7,477.02, 11,215.53 and 2,282.90 is: 3,424.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.02 : 11,215.53 = 2,282.90 : x
  2. Step 2: Convert to fraction form
    7,477.02/11,215.53 = 2,282.90/x
  3. Step 3: Cross multiply
    7,477.02x = 11,215.53 × 2,282.90
  4. Step 4: Simplify right side
    7,477.02x = 25,603,877.36
  5. Step 5: Solve for x
    x = 25,603,877.36/7,477.02
  6. Step 6: Final answer
    x = 3,424.34

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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.