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Finding the Fourth Proportional to 10,131.84, 13,980.48 and 6,153.12

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Solution

The fourth proportional to 10,131.84, 13,980.48 and 6,153.12 is: 8,490.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,131.84 : 13,980.48 = 6,153.12 : x
  2. Step 2: Convert to fraction form
    10,131.84/13,980.48 = 6,153.12/x
  3. Step 3: Cross multiply
    10,131.84x = 13,980.48 × 6,153.12
  4. Step 4: Simplify right side
    10,131.84x = 86,023,571.10
  5. Step 5: Solve for x
    x = 86,023,571.10/10,131.84
  6. Step 6: Final answer
    x = 8,490.42

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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.