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Finding the Fourth Proportional to 10,549.86, 14,558.85 and 5,834.22

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Solution

The fourth proportional to 10,549.86, 14,558.85 and 5,834.22 is: 8,051.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.86 : 14,558.85 = 5,834.22 : x
  2. Step 2: Convert to fraction form
    10,549.86/14,558.85 = 5,834.22/x
  3. Step 3: Cross multiply
    10,549.86x = 14,558.85 × 5,834.22
  4. Step 4: Simplify right side
    10,549.86x = 84,939,533.85
  5. Step 5: Solve for x
    x = 84,939,533.85/10,549.86
  6. Step 6: Final answer
    x = 8,051.25

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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.