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Finding the Fourth Proportional to 7,315.92, 10,973.81 and 2,050.92

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Solution

The fourth proportional to 7,315.92, 10,973.81 and 2,050.92 is: 3,076.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,315.92 : 10,973.81 = 2,050.92 : x
  2. Step 2: Convert to fraction form
    7,315.92/10,973.81 = 2,050.92/x
  3. Step 3: Cross multiply
    7,315.92x = 10,973.81 × 2,050.92
  4. Step 4: Simplify right side
    7,315.92x = 22,506,411.53
  5. Step 5: Solve for x
    x = 22,506,411.53/7,315.92
  6. Step 6: Final answer
    x = 3,076.36

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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.