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Finding the Fourth Proportional to 11,750.56, 16,216.28 and 7,033.93

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Solution

The fourth proportional to 11,750.56, 16,216.28 and 7,033.93 is: 9,707.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750.56 : 16,216.28 = 7,033.93 : x
  2. Step 2: Convert to fraction form
    11,750.56/16,216.28 = 7,033.93/x
  3. Step 3: Cross multiply
    11,750.56x = 16,216.28 × 7,033.93
  4. Step 4: Simplify right side
    11,750.56x = 114,064,178.38
  5. Step 5: Solve for x
    x = 114,064,178.38/11,750.56
  6. Step 6: Final answer
    x = 9,707.13

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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.