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Finding the Fourth Proportional to 11,599.06, 15,999.42 and 6,880

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Solution

The fourth proportional to 11,599.06, 15,999.42 and 6,880 is: 9,490.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.06 : 15,999.42 = 6,880 : x
  2. Step 2: Convert to fraction form
    11,599.06/15,999.42 = 6,880/x
  3. Step 3: Cross multiply
    11,599.06x = 15,999.42 × 6,880
  4. Step 4: Simplify right side
    11,599.06x = 110,076,009.60
  5. Step 5: Solve for x
    x = 110,076,009.60/11,599.06
  6. Step 6: Final answer
    x = 9,490.08

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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.