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Finding the Fourth Proportional to 10,782.10, 14,879.14 and 6,066.37

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Solution

The fourth proportional to 10,782.10, 14,879.14 and 6,066.37 is: 8,371.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.10 : 14,879.14 = 6,066.37 : x
  2. Step 2: Convert to fraction form
    10,782.10/14,879.14 = 6,066.37/x
  3. Step 3: Cross multiply
    10,782.10x = 14,879.14 × 6,066.37
  4. Step 4: Simplify right side
    10,782.10x = 90,262,368.52
  5. Step 5: Solve for x
    x = 90,262,368.52/10,782.10
  6. Step 6: Final answer
    x = 8,371.50

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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.