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Finding the Fourth Proportional to 10,456.99, 14,430.68 and 5,980.77

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Solution

The fourth proportional to 10,456.99, 14,430.68 and 5,980.77 is: 8,253.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456.99 : 14,430.68 = 5,980.77 : x
  2. Step 2: Convert to fraction form
    10,456.99/14,430.68 = 5,980.77/x
  3. Step 3: Cross multiply
    10,456.99x = 14,430.68 × 5,980.77
  4. Step 4: Simplify right side
    10,456.99x = 86,306,578.02
  5. Step 5: Solve for x
    x = 86,306,578.02/10,456.99
  6. Step 6: Final answer
    x = 8,253.48

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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.