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Finding the Fourth Proportional to 10,321.71, 15,482.52 and 2,530.50

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Solution

The fourth proportional to 10,321.71, 15,482.52 and 2,530.50 is: 3,795.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.71 : 15,482.52 = 2,530.50 : x
  2. Step 2: Convert to fraction form
    10,321.71/15,482.52 = 2,530.50/x
  3. Step 3: Cross multiply
    10,321.71x = 15,482.52 × 2,530.50
  4. Step 4: Simplify right side
    10,321.71x = 39,178,516.86
  5. Step 5: Solve for x
    x = 39,178,516.86/10,321.71
  6. Step 6: Final answer
    x = 3,795.74

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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.