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Finding the Fourth Proportional to 7,420.71, 11,131.11 and 3,038.16

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Solution

The fourth proportional to 7,420.71, 11,131.11 and 3,038.16 is: 4,557.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,420.71 : 11,131.11 = 3,038.16 : x
  2. Step 2: Convert to fraction form
    7,420.71/11,131.11 = 3,038.16/x
  3. Step 3: Cross multiply
    7,420.71x = 11,131.11 × 3,038.16
  4. Step 4: Simplify right side
    7,420.71x = 33,818,093.16
  5. Step 5: Solve for x
    x = 33,818,093.16/7,420.71
  6. Step 6: Final answer
    x = 4,557.26

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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.