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Finding the Fourth Proportional to 10,371.72, 14,312.94 and 5,655.98

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Solution

The fourth proportional to 10,371.72, 14,312.94 and 5,655.98 is: 7,805.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,371.72 : 14,312.94 = 5,655.98 : x
  2. Step 2: Convert to fraction form
    10,371.72/14,312.94 = 5,655.98/x
  3. Step 3: Cross multiply
    10,371.72x = 14,312.94 × 5,655.98
  4. Step 4: Simplify right side
    10,371.72x = 80,953,702.38
  5. Step 5: Solve for x
    x = 80,953,702.38/10,371.72
  6. Step 6: Final answer
    x = 7,805.23

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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.