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Finding the Fourth Proportional to 10,907.36, 16,355.28 and 4,748

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Solution

The fourth proportional to 10,907.36, 16,355.28 and 4,748 is: 7,119.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,907.36 : 16,355.28 = 4,748 : x
  2. Step 2: Convert to fraction form
    10,907.36/16,355.28 = 4,748/x
  3. Step 3: Cross multiply
    10,907.36x = 16,355.28 × 4,748
  4. Step 4: Simplify right side
    10,907.36x = 77,654,869.44
  5. Step 5: Solve for x
    x = 77,654,869.44/10,907.36
  6. Step 6: Final answer
    x = 7,119.49

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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.