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Finding the Fourth Proportional to 10,570.86, 14,587.83 and 5,855.04

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Solution

The fourth proportional to 10,570.86, 14,587.83 and 5,855.04 is: 8,079.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.86 : 14,587.83 = 5,855.04 : x
  2. Step 2: Convert to fraction form
    10,570.86/14,587.83 = 5,855.04/x
  3. Step 3: Cross multiply
    10,570.86x = 14,587.83 × 5,855.04
  4. Step 4: Simplify right side
    10,570.86x = 85,412,328.16
  5. Step 5: Solve for x
    x = 85,412,328.16/10,570.86
  6. Step 6: Final answer
    x = 8,079.98

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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.