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Finding the Fourth Proportional to 10,192.68, 14,063.76 and 6,661.08

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Solution

The fourth proportional to 10,192.68, 14,063.76 and 6,661.08 is: 9,190.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,192.68 : 14,063.76 = 6,661.08 : x
  2. Step 2: Convert to fraction form
    10,192.68/14,063.76 = 6,661.08/x
  3. Step 3: Cross multiply
    10,192.68x = 14,063.76 × 6,661.08
  4. Step 4: Simplify right side
    10,192.68x = 93,679,830.46
  5. Step 5: Solve for x
    x = 93,679,830.46/10,192.68
  6. Step 6: Final answer
    x = 9,190.89

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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.