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Finding the Fourth Proportional to 10,660.94, 14,707.56 and 7,823.39

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Solution

The fourth proportional to 10,660.94, 14,707.56 and 7,823.39 is: 10,792.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660.94 : 14,707.56 = 7,823.39 : x
  2. Step 2: Convert to fraction form
    10,660.94/14,707.56 = 7,823.39/x
  3. Step 3: Cross multiply
    10,660.94x = 14,707.56 × 7,823.39
  4. Step 4: Simplify right side
    10,660.94x = 115,062,904.29
  5. Step 5: Solve for x
    x = 115,062,904.29/10,660.94
  6. Step 6: Final answer
    x = 10,792.94

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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.