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Finding the Fourth Proportional to 10,688.56, 14,750.08 and 6,214.88

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Solution

The fourth proportional to 10,688.56, 14,750.08 and 6,214.88 is: 8,576.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,688.56 : 14,750.08 = 6,214.88 : x
  2. Step 2: Convert to fraction form
    10,688.56/14,750.08 = 6,214.88/x
  3. Step 3: Cross multiply
    10,688.56x = 14,750.08 × 6,214.88
  4. Step 4: Simplify right side
    10,688.56x = 91,669,977.19
  5. Step 5: Solve for x
    x = 91,669,977.19/10,688.56
  6. Step 6: Final answer
    x = 8,576.46

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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.