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Finding the Fourth Proportional to 10,696.86, 14,763.54 and 5,980.26

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Solution

The fourth proportional to 10,696.86, 14,763.54 and 5,980.26 is: 8,253.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.86 : 14,763.54 = 5,980.26 : x
  2. Step 2: Convert to fraction form
    10,696.86/14,763.54 = 5,980.26/x
  3. Step 3: Cross multiply
    10,696.86x = 14,763.54 × 5,980.26
  4. Step 4: Simplify right side
    10,696.86x = 88,289,807.72
  5. Step 5: Solve for x
    x = 88,289,807.72/10,696.86
  6. Step 6: Final answer
    x = 8,253.81

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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.