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Finding the Fourth Proportional to 10,507.71, 15,761.84 and 2,716.50

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Solution

The fourth proportional to 10,507.71, 15,761.84 and 2,716.50 is: 4,074.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.71 : 15,761.84 = 2,716.50 : x
  2. Step 2: Convert to fraction form
    10,507.71/15,761.84 = 2,716.50/x
  3. Step 3: Cross multiply
    10,507.71x = 15,761.84 × 2,716.50
  4. Step 4: Simplify right side
    10,507.71x = 42,817,038.36
  5. Step 5: Solve for x
    x = 42,817,038.36/10,507.71
  6. Step 6: Final answer
    x = 4,074.82

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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.