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Finding the Fourth Proportional to 10,289.16, 14,199.39 and 6,254.64

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Solution

The fourth proportional to 10,289.16, 14,199.39 and 6,254.64 is: 8,631.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.16 : 14,199.39 = 6,254.64 : x
  2. Step 2: Convert to fraction form
    10,289.16/14,199.39 = 6,254.64/x
  3. Step 3: Cross multiply
    10,289.16x = 14,199.39 × 6,254.64
  4. Step 4: Simplify right side
    10,289.16x = 88,812,072.67
  5. Step 5: Solve for x
    x = 88,812,072.67/10,289.16
  6. Step 6: Final answer
    x = 8,631.62

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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.