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Finding the Fourth Proportional to 10,260.66, 15,384.50 and 4,334.47

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Solution

The fourth proportional to 10,260.66, 15,384.50 and 4,334.47 is: 6,498.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,260.66 : 15,384.50 = 4,334.47 : x
  2. Step 2: Convert to fraction form
    10,260.66/15,384.50 = 4,334.47/x
  3. Step 3: Cross multiply
    10,260.66x = 15,384.50 × 4,334.47
  4. Step 4: Simplify right side
    10,260.66x = 66,683,576.79
  5. Step 5: Solve for x
    x = 66,683,576.79/10,260.66
  6. Step 6: Final answer
    x = 6,498.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.