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Finding the Fourth Proportional to 7,136.91, 10,693.06 and 4,731.15

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Solution

The fourth proportional to 7,136.91, 10,693.06 and 4,731.15 is: 7,088.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.91 : 10,693.06 = 4,731.15 : x
  2. Step 2: Convert to fraction form
    7,136.91/10,693.06 = 4,731.15/x
  3. Step 3: Cross multiply
    7,136.91x = 10,693.06 × 4,731.15
  4. Step 4: Simplify right side
    7,136.91x = 50,590,470.82
  5. Step 5: Solve for x
    x = 50,590,470.82/7,136.91
  6. Step 6: Final answer
    x = 7,088.57

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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.