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Finding the Fourth Proportional to 10,459.97, 14,430.59 and 6,682.16

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Solution

The fourth proportional to 10,459.97, 14,430.59 and 6,682.16 is: 9,218.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.97 : 14,430.59 = 6,682.16 : x
  2. Step 2: Convert to fraction form
    10,459.97/14,430.59 = 6,682.16/x
  3. Step 3: Cross multiply
    10,459.97x = 14,430.59 × 6,682.16
  4. Step 4: Simplify right side
    10,459.97x = 96,427,432.77
  5. Step 5: Solve for x
    x = 96,427,432.77/10,459.97
  6. Step 6: Final answer
    x = 9,218.71

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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.