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Finding the Fourth Proportional to 11,876.40, 16,389.24 and 6,571.20

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Solution

The fourth proportional to 11,876.40, 16,389.24 and 6,571.20 is: 9,068.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876.40 : 16,389.24 = 6,571.20 : x
  2. Step 2: Convert to fraction form
    11,876.40/16,389.24 = 6,571.20/x
  3. Step 3: Cross multiply
    11,876.40x = 16,389.24 × 6,571.20
  4. Step 4: Simplify right side
    11,876.40x = 107,696,973.89
  5. Step 5: Solve for x
    x = 107,696,973.89/11,876.40
  6. Step 6: Final answer
    x = 9,068.15

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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.