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Finding the Fourth Proportional to 7,414.59, 10,231.75 and 4,056.76

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Solution

The fourth proportional to 7,414.59, 10,231.75 and 4,056.76 is: 5,598.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.59 : 10,231.75 = 4,056.76 : x
  2. Step 2: Convert to fraction form
    7,414.59/10,231.75 = 4,056.76/x
  3. Step 3: Cross multiply
    7,414.59x = 10,231.75 × 4,056.76
  4. Step 4: Simplify right side
    7,414.59x = 41,507,741.77
  5. Step 5: Solve for x
    x = 41,507,741.77/7,414.59
  6. Step 6: Final answer
    x = 5,598.11

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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.