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Finding the Fourth Proportional to 10,368, 15,553.92 and 4,896

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Solution

The fourth proportional to 10,368, 15,553.92 and 4,896 is: 7,344.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,368 : 15,553.92 = 4,896 : x
  2. Step 2: Convert to fraction form
    10,368/15,553.92 = 4,896/x
  3. Step 3: Cross multiply
    10,368x = 15,553.92 × 4,896
  4. Step 4: Simplify right side
    10,368x = 76,151,992.32
  5. Step 5: Solve for x
    x = 76,151,992.32/10,368
  6. Step 6: Final answer
    x = 7,344.91

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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.