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Finding the Fourth Proportional to 10,384.53, 14,337.53 and 6,411.48

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Solution

The fourth proportional to 10,384.53, 14,337.53 and 6,411.48 is: 8,852.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.53 : 14,337.53 = 6,411.48 : x
  2. Step 2: Convert to fraction form
    10,384.53/14,337.53 = 6,411.48/x
  3. Step 3: Cross multiply
    10,384.53x = 14,337.53 × 6,411.48
  4. Step 4: Simplify right side
    10,384.53x = 91,924,754.79
  5. Step 5: Solve for x
    x = 91,924,754.79/10,384.53
  6. Step 6: Final answer
    x = 8,852.09

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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.