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Finding the Fourth Proportional to 10,456.51, 14,426.46 and 5,977.10

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Solution

The fourth proportional to 10,456.51, 14,426.46 and 5,977.10 is: 8,246.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456.51 : 14,426.46 = 5,977.10 : x
  2. Step 2: Convert to fraction form
    10,456.51/14,426.46 = 5,977.10/x
  3. Step 3: Cross multiply
    10,456.51x = 14,426.46 × 5,977.10
  4. Step 4: Simplify right side
    10,456.51x = 86,228,394.07
  5. Step 5: Solve for x
    x = 86,228,394.07/10,456.51
  6. Step 6: Final answer
    x = 8,246.38

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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.