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Finding the Fourth Proportional to 10,565.40, 14,574.69 and 7,879.44

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Solution

The fourth proportional to 10,565.40, 14,574.69 and 7,879.44 is: 10,869.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.40 : 14,574.69 = 7,879.44 : x
  2. Step 2: Convert to fraction form
    10,565.40/14,574.69 = 7,879.44/x
  3. Step 3: Cross multiply
    10,565.40x = 14,574.69 × 7,879.44
  4. Step 4: Simplify right side
    10,565.40x = 114,840,395.37
  5. Step 5: Solve for x
    x = 114,840,395.37/10,565.40
  6. Step 6: Final answer
    x = 10,869.48

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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.