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Finding the Fourth Proportional to 10,844, 16,266.84 and 4,688

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Solution

The fourth proportional to 10,844, 16,266.84 and 4,688 is: 7,032.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,844 : 16,266.84 = 4,688 : x
  2. Step 2: Convert to fraction form
    10,844/16,266.84 = 4,688/x
  3. Step 3: Cross multiply
    10,844x = 16,266.84 × 4,688
  4. Step 4: Simplify right side
    10,844x = 76,258,945.92
  5. Step 5: Solve for x
    x = 76,258,945.92/10,844
  6. Step 6: Final answer
    x = 7,032.36

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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.