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Finding the Fourth Proportional to 11,258.10, 15,536.10 and 6,290.10

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Solution

The fourth proportional to 11,258.10, 15,536.10 and 6,290.10 is: 8,680.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,258.10 : 15,536.10 = 6,290.10 : x
  2. Step 2: Convert to fraction form
    11,258.10/15,536.10 = 6,290.10/x
  3. Step 3: Cross multiply
    11,258.10x = 15,536.10 × 6,290.10
  4. Step 4: Simplify right side
    11,258.10x = 97,723,622.61
  5. Step 5: Solve for x
    x = 97,723,622.61/11,258.10
  6. Step 6: Final answer
    x = 8,680.29

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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.