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Finding the Fourth Proportional to 7,442.99, 10,270.90 and 4,458.14

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Solution

The fourth proportional to 7,442.99, 10,270.90 and 4,458.14 is: 6,151.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.99 : 10,270.90 = 4,458.14 : x
  2. Step 2: Convert to fraction form
    7,442.99/10,270.90 = 4,458.14/x
  3. Step 3: Cross multiply
    7,442.99x = 10,270.90 × 4,458.14
  4. Step 4: Simplify right side
    7,442.99x = 45,789,110.13
  5. Step 5: Solve for x
    x = 45,789,110.13/7,442.99
  6. Step 6: Final answer
    x = 6,151.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.