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Finding the Fourth Proportional to 29,184, 43,776 and 7,296

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Solution

The fourth proportional to 29,184, 43,776 and 7,296 is: 10,944

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,184 : 43,776 = 7,296 : x
  2. Step 2: Convert to fraction form
    29,184/43,776 = 7,296/x
  3. Step 3: Cross multiply
    29,184x = 43,776 × 7,296
  4. Step 4: Simplify right side
    29,184x = 319,389,696
  5. Step 5: Solve for x
    x = 319,389,696/29,184
  6. Step 6: Final answer
    x = 10,944

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.