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Finding the Fourth Proportional to 11,466.51, 15,823.94 and 6,928.56

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Solution

The fourth proportional to 11,466.51, 15,823.94 and 6,928.56 is: 9,561.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.51 : 15,823.94 = 6,928.56 : x
  2. Step 2: Convert to fraction form
    11,466.51/15,823.94 = 6,928.56/x
  3. Step 3: Cross multiply
    11,466.51x = 15,823.94 × 6,928.56
  4. Step 4: Simplify right side
    11,466.51x = 109,637,099.80
  5. Step 5: Solve for x
    x = 109,637,099.80/11,466.51
  6. Step 6: Final answer
    x = 9,561.51

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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.