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Finding the Fourth Proportional to 29,004, 43,506 and 7,116

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Solution

The fourth proportional to 29,004, 43,506 and 7,116 is: 10,674

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,004 : 43,506 = 7,116 : x
  2. Step 2: Convert to fraction form
    29,004/43,506 = 7,116/x
  3. Step 3: Cross multiply
    29,004x = 43,506 × 7,116
  4. Step 4: Simplify right side
    29,004x = 309,588,696
  5. Step 5: Solve for x
    x = 309,588,696/29,004
  6. Step 6: Final answer
    x = 10,674

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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.