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Finding the Fourth Proportional to 7,966.51, 10,993.38 and 4,429.03

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Solution

The fourth proportional to 7,966.51, 10,993.38 and 4,429.03 is: 6,111.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.51 : 10,993.38 = 4,429.03 : x
  2. Step 2: Convert to fraction form
    7,966.51/10,993.38 = 4,429.03/x
  3. Step 3: Cross multiply
    7,966.51x = 10,993.38 × 4,429.03
  4. Step 4: Simplify right side
    7,966.51x = 48,690,009.82
  5. Step 5: Solve for x
    x = 48,690,009.82/7,966.51
  6. Step 6: Final answer
    x = 6,111.84

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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.