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Finding the Fourth Proportional to 29,776, 44,664 and 7,888

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Solution

The fourth proportional to 29,776, 44,664 and 7,888 is: 11,832

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,776 : 44,664 = 7,888 : x
  2. Step 2: Convert to fraction form
    29,776/44,664 = 7,888/x
  3. Step 3: Cross multiply
    29,776x = 44,664 × 7,888
  4. Step 4: Simplify right side
    29,776x = 352,309,632
  5. Step 5: Solve for x
    x = 352,309,632/29,776
  6. Step 6: Final answer
    x = 11,832

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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.