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Finding the Fourth Proportional to 10,697.40, 14,762.70 and 5,981.40

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Solution

The fourth proportional to 10,697.40, 14,762.70 and 5,981.40 is: 8,254.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.40 : 14,762.70 = 5,981.40 : x
  2. Step 2: Convert to fraction form
    10,697.40/14,762.70 = 5,981.40/x
  3. Step 3: Cross multiply
    10,697.40x = 14,762.70 × 5,981.40
  4. Step 4: Simplify right side
    10,697.40x = 88,301,613.78
  5. Step 5: Solve for x
    x = 88,301,613.78/10,697.40
  6. Step 6: Final answer
    x = 8,254.49

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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.