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Finding the Fourth Proportional to 11,597.28, 15,996 and 10,656

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Solution

The fourth proportional to 11,597.28, 15,996 and 10,656 is: 14,697.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.28 : 15,996 = 10,656 : x
  2. Step 2: Convert to fraction form
    11,597.28/15,996 = 10,656/x
  3. Step 3: Cross multiply
    11,597.28x = 15,996 × 10,656
  4. Step 4: Simplify right side
    11,597.28x = 170,453,376
  5. Step 5: Solve for x
    x = 170,453,376/11,597.28
  6. Step 6: Final answer
    x = 14,697.70

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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.