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Finding the Fourth Proportional to 10,565.81, 14,580.79 and 6,089.53

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Solution

The fourth proportional to 10,565.81, 14,580.79 and 6,089.53 is: 8,403.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.81 : 14,580.79 = 6,089.53 : x
  2. Step 2: Convert to fraction form
    10,565.81/14,580.79 = 6,089.53/x
  3. Step 3: Cross multiply
    10,565.81x = 14,580.79 × 6,089.53
  4. Step 4: Simplify right side
    10,565.81x = 88,790,168.05
  5. Step 5: Solve for x
    x = 88,790,168.05/10,565.81
  6. Step 6: Final answer
    x = 8,403.54

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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.