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Finding the Fourth Proportional to 12,512.64, 17,258.88 and 7,795.20

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Solution

The fourth proportional to 12,512.64, 17,258.88 and 7,795.20 is: 10,752.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,512.64 : 17,258.88 = 7,795.20 : x
  2. Step 2: Convert to fraction form
    12,512.64/17,258.88 = 7,795.20/x
  3. Step 3: Cross multiply
    12,512.64x = 17,258.88 × 7,795.20
  4. Step 4: Simplify right side
    12,512.64x = 134,536,421.38
  5. Step 5: Solve for x
    x = 134,536,421.38/12,512.64
  6. Step 6: Final answer
    x = 10,752.04

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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.