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Finding the Fourth Proportional to 10,390.50, 15,586.07 and 2,599.31

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Solution

The fourth proportional to 10,390.50, 15,586.07 and 2,599.31 is: 3,899.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,390.50 : 15,586.07 = 2,599.31 : x
  2. Step 2: Convert to fraction form
    10,390.50/15,586.07 = 2,599.31/x
  3. Step 3: Cross multiply
    10,390.50x = 15,586.07 × 2,599.31
  4. Step 4: Simplify right side
    10,390.50x = 40,513,053.58
  5. Step 5: Solve for x
    x = 40,513,053.58/10,390.50
  6. Step 6: Final answer
    x = 3,899.05

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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.