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Finding the Fourth Proportional to 8,010, 11,053.76 and 4,473

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Solution

The fourth proportional to 8,010, 11,053.76 and 4,473 is: 6,172.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,010 : 11,053.76 = 4,473 : x
  2. Step 2: Convert to fraction form
    8,010/11,053.76 = 4,473/x
  3. Step 3: Cross multiply
    8,010x = 11,053.76 × 4,473
  4. Step 4: Simplify right side
    8,010x = 49,443,468.48
  5. Step 5: Solve for x
    x = 49,443,468.48/8,010
  6. Step 6: Final answer
    x = 6,172.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.