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Finding the Fourth Proportional to 10,329.31, 14,254.95 and 5,853.25

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Solution

The fourth proportional to 10,329.31, 14,254.95 and 5,853.25 is: 8,077.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329.31 : 14,254.95 = 5,853.25 : x
  2. Step 2: Convert to fraction form
    10,329.31/14,254.95 = 5,853.25/x
  3. Step 3: Cross multiply
    10,329.31x = 14,254.95 × 5,853.25
  4. Step 4: Simplify right side
    10,329.31x = 83,437,786.09
  5. Step 5: Solve for x
    x = 83,437,786.09/10,329.31
  6. Step 6: Final answer
    x = 8,077.77

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