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Finding the Fourth Proportional to 10,697.12, 14,762.07 and 5,981.40

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Solution

The fourth proportional to 10,697.12, 14,762.07 and 5,981.40 is: 8,254.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.12 : 14,762.07 = 5,981.40 : x
  2. Step 2: Convert to fraction form
    10,697.12/14,762.07 = 5,981.40/x
  3. Step 3: Cross multiply
    10,697.12x = 14,762.07 × 5,981.40
  4. Step 4: Simplify right side
    10,697.12x = 88,297,845.50
  5. Step 5: Solve for x
    x = 88,297,845.50/10,697.12
  6. Step 6: Final answer
    x = 8,254.36

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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.