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Finding the Fourth Proportional to 10,726.56, 14,803.56 and 6,537.24

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Solution

The fourth proportional to 10,726.56, 14,803.56 and 6,537.24 is: 9,021.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.56 : 14,803.56 = 6,537.24 : x
  2. Step 2: Convert to fraction form
    10,726.56/14,803.56 = 6,537.24/x
  3. Step 3: Cross multiply
    10,726.56x = 14,803.56 × 6,537.24
  4. Step 4: Simplify right side
    10,726.56x = 96,774,424.57
  5. Step 5: Solve for x
    x = 96,774,424.57/10,726.56
  6. Step 6: Final answer
    x = 9,021.94

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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.