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Finding the Fourth Proportional to 10,144.64, 14,001.92 and 6,601.60

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Solution

The fourth proportional to 10,144.64, 14,001.92 and 6,601.60 is: 9,111.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.64 : 14,001.92 = 6,601.60 : x
  2. Step 2: Convert to fraction form
    10,144.64/14,001.92 = 6,601.60/x
  3. Step 3: Cross multiply
    10,144.64x = 14,001.92 × 6,601.60
  4. Step 4: Simplify right side
    10,144.64x = 92,435,075.07
  5. Step 5: Solve for x
    x = 92,435,075.07/10,144.64
  6. Step 6: Final answer
    x = 9,111.72

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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.