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Finding the Fourth Proportional to 12,656.64, 17,468.00 and 7,354.38

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Solution

The fourth proportional to 12,656.64, 17,468.00 and 7,354.38 is: 10,150.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,656.64 : 17,468.00 = 7,354.38 : x
  2. Step 2: Convert to fraction form
    12,656.64/17,468.00 = 7,354.38/x
  3. Step 3: Cross multiply
    12,656.64x = 17,468.00 × 7,354.38
  4. Step 4: Simplify right side
    12,656.64x = 128,466,273.07
  5. Step 5: Solve for x
    x = 128,466,273.07/12,656.64
  6. Step 6: Final answer
    x = 10,150.11

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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.