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Finding the Fourth Proportional to 11,258.46, 16,884 and 4,686.48

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Solution

The fourth proportional to 11,258.46, 16,884 and 4,686.48 is: 7,028.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,258.46 : 16,884 = 4,686.48 : x
  2. Step 2: Convert to fraction form
    11,258.46/16,884 = 4,686.48/x
  3. Step 3: Cross multiply
    11,258.46x = 16,884 × 4,686.48
  4. Step 4: Simplify right side
    11,258.46x = 79,126,528.32
  5. Step 5: Solve for x
    x = 79,126,528.32/11,258.46
  6. Step 6: Final answer
    x = 7,028.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.