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Finding the Fourth Proportional to 10,549.66, 14,558.62 and 5,834.02

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Solution

The fourth proportional to 10,549.66, 14,558.62 and 5,834.02 is: 8,050.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.66 : 14,558.62 = 5,834.02 : x
  2. Step 2: Convert to fraction form
    10,549.66/14,558.62 = 5,834.02/x
  3. Step 3: Cross multiply
    10,549.66x = 14,558.62 × 5,834.02
  4. Step 4: Simplify right side
    10,549.66x = 84,935,207.46
  5. Step 5: Solve for x
    x = 84,935,207.46/10,549.66
  6. Step 6: Final answer
    x = 8,050.99

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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.