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Finding the Fourth Proportional to 10,967.00, 15,136.17 and 6,989.39

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Solution

The fourth proportional to 10,967.00, 15,136.17 and 6,989.39 is: 9,646.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.00 : 15,136.17 = 6,989.39 : x
  2. Step 2: Convert to fraction form
    10,967.00/15,136.17 = 6,989.39/x
  3. Step 3: Cross multiply
    10,967.00x = 15,136.17 × 6,989.39
  4. Step 4: Simplify right side
    10,967.00x = 105,792,550.11
  5. Step 5: Solve for x
    x = 105,792,550.11/10,967.00
  6. Step 6: Final answer
    x = 9,646.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.