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Finding the Fourth Proportional to 10,565.84, 14,581.08 and 5,850.26

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Solution

The fourth proportional to 10,565.84, 14,581.08 and 5,850.26 is: 8,073.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.84 : 14,581.08 = 5,850.26 : x
  2. Step 2: Convert to fraction form
    10,565.84/14,581.08 = 5,850.26/x
  3. Step 3: Cross multiply
    10,565.84x = 14,581.08 × 5,850.26
  4. Step 4: Simplify right side
    10,565.84x = 85,303,109.08
  5. Step 5: Solve for x
    x = 85,303,109.08/10,565.84
  6. Step 6: Final answer
    x = 8,073.48

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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.