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Finding the Fourth Proportional to 8,902.84, 13,362.33 and 4,746.34

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Solution

The fourth proportional to 8,902.84, 13,362.33 and 4,746.34 is: 7,123.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,902.84 : 13,362.33 = 4,746.34 : x
  2. Step 2: Convert to fraction form
    8,902.84/13,362.33 = 4,746.34/x
  3. Step 3: Cross multiply
    8,902.84x = 13,362.33 × 4,746.34
  4. Step 4: Simplify right side
    8,902.84x = 63,422,161.37
  5. Step 5: Solve for x
    x = 63,422,161.37/8,902.84
  6. Step 6: Final answer
    x = 7,123.81

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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.