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Finding the Fourth Proportional to 10,141.62, 15,214.23 and 4,594.74

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Solution

The fourth proportional to 10,141.62, 15,214.23 and 4,594.74 is: 6,892.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,141.62 : 15,214.23 = 4,594.74 : x
  2. Step 2: Convert to fraction form
    10,141.62/15,214.23 = 4,594.74/x
  3. Step 3: Cross multiply
    10,141.62x = 15,214.23 × 4,594.74
  4. Step 4: Simplify right side
    10,141.62x = 69,905,431.15
  5. Step 5: Solve for x
    x = 69,905,431.15/10,141.62
  6. Step 6: Final answer
    x = 6,892.93

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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.