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Finding the Fourth Proportional to 10,964, 15,130.68 and 5,996

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Solution

The fourth proportional to 10,964, 15,130.68 and 5,996 is: 8,274.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,964 : 15,130.68 = 5,996 : x
  2. Step 2: Convert to fraction form
    10,964/15,130.68 = 5,996/x
  3. Step 3: Cross multiply
    10,964x = 15,130.68 × 5,996
  4. Step 4: Simplify right side
    10,964x = 90,723,557.28
  5. Step 5: Solve for x
    x = 90,723,557.28/10,964
  6. Step 6: Final answer
    x = 8,274.68

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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.