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Finding the Fourth Proportional to 10,696.12, 14,760.68 and 5,981.52

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Solution

The fourth proportional to 10,696.12, 14,760.68 and 5,981.52 is: 8,254.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.12 : 14,760.68 = 5,981.52 : x
  2. Step 2: Convert to fraction form
    10,696.12/14,760.68 = 5,981.52/x
  3. Step 3: Cross multiply
    10,696.12x = 14,760.68 × 5,981.52
  4. Step 4: Simplify right side
    10,696.12x = 88,291,302.63
  5. Step 5: Solve for x
    x = 88,291,302.63/10,696.12
  6. Step 6: Final answer
    x = 8,254.52

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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.