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Finding the Fourth Proportional to 10,795.75, 14,904.62 and 7,076.23

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Solution

The fourth proportional to 10,795.75, 14,904.62 and 7,076.23 is: 9,769.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,795.75 : 14,904.62 = 7,076.23 : x
  2. Step 2: Convert to fraction form
    10,795.75/14,904.62 = 7,076.23/x
  3. Step 3: Cross multiply
    10,795.75x = 14,904.62 × 7,076.23
  4. Step 4: Simplify right side
    10,795.75x = 105,468,519.18
  5. Step 5: Solve for x
    x = 105,468,519.18/10,795.75
  6. Step 6: Final answer
    x = 9,769.45

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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.