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Finding the Fourth Proportional to 7,053.88, 10,586.13 and 4,827.38

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Solution

The fourth proportional to 7,053.88, 10,586.13 and 4,827.38 is: 7,244.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.88 : 10,586.13 = 4,827.38 : x
  2. Step 2: Convert to fraction form
    7,053.88/10,586.13 = 4,827.38/x
  3. Step 3: Cross multiply
    7,053.88x = 10,586.13 × 4,827.38
  4. Step 4: Simplify right side
    7,053.88x = 51,103,272.24
  5. Step 5: Solve for x
    x = 51,103,272.24/7,053.88
  6. Step 6: Final answer
    x = 7,244.70

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Why These Related Problems?

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