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Finding the Fourth Proportional to 10,565.26, 14,579.93 and 5,785.16

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Solution

The fourth proportional to 10,565.26, 14,579.93 and 5,785.16 is: 7,983.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.26 : 14,579.93 = 5,785.16 : x
  2. Step 2: Convert to fraction form
    10,565.26/14,579.93 = 5,785.16/x
  3. Step 3: Cross multiply
    10,565.26x = 14,579.93 × 5,785.16
  4. Step 4: Simplify right side
    10,565.26x = 84,347,169.40
  5. Step 5: Solve for x
    x = 84,347,169.40/10,565.26
  6. Step 6: Final answer
    x = 7,983.45

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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.