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Finding the Fourth Proportional to 10,565.60, 14,580.60 and 5,849.78

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Solution

The fourth proportional to 10,565.60, 14,580.60 and 5,849.78 is: 8,072.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.60 : 14,580.60 = 5,849.78 : x
  2. Step 2: Convert to fraction form
    10,565.60/14,580.60 = 5,849.78/x
  3. Step 3: Cross multiply
    10,565.60x = 14,580.60 × 5,849.78
  4. Step 4: Simplify right side
    10,565.60x = 85,293,302.27
  5. Step 5: Solve for x
    x = 85,293,302.27/10,565.60
  6. Step 6: Final answer
    x = 8,072.74

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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.