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Finding the Fourth Proportional to 10,696.86, 14,762.46 and 5,980.86

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Solution

The fourth proportional to 10,696.86, 14,762.46 and 5,980.86 is: 8,254.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.86 : 14,762.46 = 5,980.86 : x
  2. Step 2: Convert to fraction form
    10,696.86/14,762.46 = 5,980.86/x
  3. Step 3: Cross multiply
    10,696.86x = 14,762.46 × 5,980.86
  4. Step 4: Simplify right side
    10,696.86x = 88,292,206.52
  5. Step 5: Solve for x
    x = 88,292,206.52/10,696.86
  6. Step 6: Final answer
    x = 8,254.03

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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.