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Finding the Fourth Proportional to 10,697.64, 14,762.83 and 5,981.92

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Solution

The fourth proportional to 10,697.64, 14,762.83 and 5,981.92 is: 8,255.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.64 : 14,762.83 = 5,981.92 : x
  2. Step 2: Convert to fraction form
    10,697.64/14,762.83 = 5,981.92/x
  3. Step 3: Cross multiply
    10,697.64x = 14,762.83 × 5,981.92
  4. Step 4: Simplify right side
    10,697.64x = 88,310,068.03
  5. Step 5: Solve for x
    x = 88,310,068.03/10,697.64
  6. Step 6: Final answer
    x = 8,255.10

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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.