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Finding the Fourth Proportional to 11,756.72, 16,222.56 and 7,040

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Solution

The fourth proportional to 11,756.72, 16,222.56 and 7,040 is: 9,714.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.72 : 16,222.56 = 7,040 : x
  2. Step 2: Convert to fraction form
    11,756.72/16,222.56 = 7,040/x
  3. Step 3: Cross multiply
    11,756.72x = 16,222.56 × 7,040
  4. Step 4: Simplify right side
    11,756.72x = 114,206,822.40
  5. Step 5: Solve for x
    x = 114,206,822.40/11,756.72
  6. Step 6: Final answer
    x = 9,714.17

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