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Finding the Fourth Proportional to 10,843.43, 14,966.44 and 7,060.01

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Solution

The fourth proportional to 10,843.43, 14,966.44 and 7,060.01 is: 9,744.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843.43 : 14,966.44 = 7,060.01 : x
  2. Step 2: Convert to fraction form
    10,843.43/14,966.44 = 7,060.01/x
  3. Step 3: Cross multiply
    10,843.43x = 14,966.44 × 7,060.01
  4. Step 4: Simplify right side
    10,843.43x = 105,663,216.06
  5. Step 5: Solve for x
    x = 105,663,216.06/10,843.43
  6. Step 6: Final answer
    x = 9,744.45

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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.