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Finding the Fourth Proportional to 10,565.86, 14,583.80 and 6,319.84

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Solution

The fourth proportional to 10,565.86, 14,583.80 and 6,319.84 is: 8,723.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.86 : 14,583.80 = 6,319.84 : x
  2. Step 2: Convert to fraction form
    10,565.86/14,583.80 = 6,319.84/x
  3. Step 3: Cross multiply
    10,565.86x = 14,583.80 × 6,319.84
  4. Step 4: Simplify right side
    10,565.86x = 92,167,250.99
  5. Step 5: Solve for x
    x = 92,167,250.99/10,565.86
  6. Step 6: Final answer
    x = 8,723.12

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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.