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Finding the Fourth Proportional to 10,327.53, 14,252.03 and 5,852.15

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Solution

The fourth proportional to 10,327.53, 14,252.03 and 5,852.15 is: 8,075.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,327.53 : 14,252.03 = 5,852.15 : x
  2. Step 2: Convert to fraction form
    10,327.53/14,252.03 = 5,852.15/x
  3. Step 3: Cross multiply
    10,327.53x = 14,252.03 × 5,852.15
  4. Step 4: Simplify right side
    10,327.53x = 83,405,014.18
  5. Step 5: Solve for x
    x = 83,405,014.18/10,327.53
  6. Step 6: Final answer
    x = 8,075.99

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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.