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Finding the Fourth Proportional to 7,414.95, 10,233.54 and 4,430.76

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Solution

The fourth proportional to 7,414.95, 10,233.54 and 4,430.76 is: 6,114.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.95 : 10,233.54 = 4,430.76 : x
  2. Step 2: Convert to fraction form
    7,414.95/10,233.54 = 4,430.76/x
  3. Step 3: Cross multiply
    7,414.95x = 10,233.54 × 4,430.76
  4. Step 4: Simplify right side
    7,414.95x = 45,342,359.69
  5. Step 5: Solve for x
    x = 45,342,359.69/7,414.95
  6. Step 6: Final answer
    x = 6,114.99

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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.