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Finding the Fourth Proportional to 10,459.82, 14,440.86 and 6,880.43

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Solution

The fourth proportional to 10,459.82, 14,440.86 and 6,880.43 is: 9,499.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.82 : 14,440.86 = 6,880.43 : x
  2. Step 2: Convert to fraction form
    10,459.82/14,440.86 = 6,880.43/x
  3. Step 3: Cross multiply
    10,459.82x = 14,440.86 × 6,880.43
  4. Step 4: Simplify right side
    10,459.82x = 99,359,254.17
  5. Step 5: Solve for x
    x = 99,359,254.17/10,459.82
  6. Step 6: Final answer
    x = 9,499.14

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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.