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Finding the Fourth Proportional to 10,455.77, 14,430.11 and 5,979.94

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Solution

The fourth proportional to 10,455.77, 14,430.11 and 5,979.94 is: 8,252.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.77 : 14,430.11 = 5,979.94 : x
  2. Step 2: Convert to fraction form
    10,455.77/14,430.11 = 5,979.94/x
  3. Step 3: Cross multiply
    10,455.77x = 14,430.11 × 5,979.94
  4. Step 4: Simplify right side
    10,455.77x = 86,291,191.99
  5. Step 5: Solve for x
    x = 86,291,191.99/10,455.77
  6. Step 6: Final answer
    x = 8,252.97

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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.