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Finding the Fourth Proportional to 7,442.16, 11,165.06 and 4,157.41

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Solution

The fourth proportional to 7,442.16, 11,165.06 and 4,157.41 is: 6,237.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.16 : 11,165.06 = 4,157.41 : x
  2. Step 2: Convert to fraction form
    7,442.16/11,165.06 = 4,157.41/x
  3. Step 3: Cross multiply
    7,442.16x = 11,165.06 × 4,157.41
  4. Step 4: Simplify right side
    7,442.16x = 46,417,732.09
  5. Step 5: Solve for x
    x = 46,417,732.09/7,442.16
  6. Step 6: Final answer
    x = 6,237.13

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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.