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Finding the Fourth Proportional to 10,662.82, 14,704.68 and 8,430.02

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Solution

The fourth proportional to 10,662.82, 14,704.68 and 8,430.02 is: 11,625.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.82 : 14,704.68 = 8,430.02 : x
  2. Step 2: Convert to fraction form
    10,662.82/14,704.68 = 8,430.02/x
  3. Step 3: Cross multiply
    10,662.82x = 14,704.68 × 8,430.02
  4. Step 4: Simplify right side
    10,662.82x = 123,960,746.49
  5. Step 5: Solve for x
    x = 123,960,746.49/10,662.82
  6. Step 6: Final answer
    x = 11,625.51

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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.