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Finding the Fourth Proportional to 10,505.70, 14,497.20 and 6,029.82

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Solution

The fourth proportional to 10,505.70, 14,497.20 and 6,029.82 is: 8,320.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.70 : 14,497.20 = 6,029.82 : x
  2. Step 2: Convert to fraction form
    10,505.70/14,497.20 = 6,029.82/x
  3. Step 3: Cross multiply
    10,505.70x = 14,497.20 × 6,029.82
  4. Step 4: Simplify right side
    10,505.70x = 87,415,506.50
  5. Step 5: Solve for x
    x = 87,415,506.50/10,505.70
  6. Step 6: Final answer
    x = 8,320.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.