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Finding the Fourth Proportional to 10,578.36, 14,564.92 and 8,981.72

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Solution

The fourth proportional to 10,578.36, 14,564.92 and 8,981.72 is: 12,366.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.36 : 14,564.92 = 8,981.72 : x
  2. Step 2: Convert to fraction form
    10,578.36/14,564.92 = 8,981.72/x
  3. Step 3: Cross multiply
    10,578.36x = 14,564.92 × 8,981.72
  4. Step 4: Simplify right side
    10,578.36x = 130,818,033.26
  5. Step 5: Solve for x
    x = 130,818,033.26/10,578.36
  6. Step 6: Final answer
    x = 12,366.57

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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.