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Finding the Fourth Proportional to 10,583.46, 14,605.16 and 6,334.71

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Solution

The fourth proportional to 10,583.46, 14,605.16 and 6,334.71 is: 8,741.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.46 : 14,605.16 = 6,334.71 : x
  2. Step 2: Convert to fraction form
    10,583.46/14,605.16 = 6,334.71/x
  3. Step 3: Cross multiply
    10,583.46x = 14,605.16 × 6,334.71
  4. Step 4: Simplify right side
    10,583.46x = 92,519,421.43
  5. Step 5: Solve for x
    x = 92,519,421.43/10,583.46
  6. Step 6: Final answer
    x = 8,741.89

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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.