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Finding the Fourth Proportional to 10,380.71, 15,573.66 and 2,985.17

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Solution

The fourth proportional to 10,380.71, 15,573.66 and 2,985.17 is: 4,478.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380.71 : 15,573.66 = 2,985.17 : x
  2. Step 2: Convert to fraction form
    10,380.71/15,573.66 = 2,985.17/x
  3. Step 3: Cross multiply
    10,380.71x = 15,573.66 × 2,985.17
  4. Step 4: Simplify right side
    10,380.71x = 46,490,022.62
  5. Step 5: Solve for x
    x = 46,490,022.62/10,380.71
  6. Step 6: Final answer
    x = 4,478.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.