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Finding the Fourth Proportional to 7,096.86, 10,643.58 and 3,145.95

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Solution

The fourth proportional to 7,096.86, 10,643.58 and 3,145.95 is: 4,718.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.86 : 10,643.58 = 3,145.95 : x
  2. Step 2: Convert to fraction form
    7,096.86/10,643.58 = 3,145.95/x
  3. Step 3: Cross multiply
    7,096.86x = 10,643.58 × 3,145.95
  4. Step 4: Simplify right side
    7,096.86x = 33,484,170.50
  5. Step 5: Solve for x
    x = 33,484,170.50/7,096.86
  6. Step 6: Final answer
    x = 4,718.17

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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.