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Finding the Fourth Proportional to 10,583.12, 14,604.36 and 6,390.64

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Solution

The fourth proportional to 10,583.12, 14,604.36 and 6,390.64 is: 8,818.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.12 : 14,604.36 = 6,390.64 : x
  2. Step 2: Convert to fraction form
    10,583.12/14,604.36 = 6,390.64/x
  3. Step 3: Cross multiply
    10,583.12x = 14,604.36 × 6,390.64
  4. Step 4: Simplify right side
    10,583.12x = 93,331,207.19
  5. Step 5: Solve for x
    x = 93,331,207.19/10,583.12
  6. Step 6: Final answer
    x = 8,818.87

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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.