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Finding the Fourth Proportional to 10,705.64, 16,058.52 and 2,914.52

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Solution

The fourth proportional to 10,705.64, 16,058.52 and 2,914.52 is: 4,371.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.64 : 16,058.52 = 2,914.52 : x
  2. Step 2: Convert to fraction form
    10,705.64/16,058.52 = 2,914.52/x
  3. Step 3: Cross multiply
    10,705.64x = 16,058.52 × 2,914.52
  4. Step 4: Simplify right side
    10,705.64x = 46,802,877.71
  5. Step 5: Solve for x
    x = 46,802,877.71/10,705.64
  6. Step 6: Final answer
    x = 4,371.80

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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.