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Finding the Fourth Proportional to 8,904.84, 13,365.34 and 4,748.34

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Solution

The fourth proportional to 8,904.84, 13,365.34 and 4,748.34 is: 7,126.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,904.84 : 13,365.34 = 4,748.34 : x
  2. Step 2: Convert to fraction form
    8,904.84/13,365.34 = 4,748.34/x
  3. Step 3: Cross multiply
    8,904.84x = 13,365.34 × 4,748.34
  4. Step 4: Simplify right side
    8,904.84x = 63,463,178.54
  5. Step 5: Solve for x
    x = 63,463,178.54/8,904.84
  6. Step 6: Final answer
    x = 7,126.82

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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.