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Finding the Fourth Proportional to 11,182.98, 15,435.72 and 7,406.76

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Solution

The fourth proportional to 11,182.98, 15,435.72 and 7,406.76 is: 10,223.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,182.98 : 15,435.72 = 7,406.76 : x
  2. Step 2: Convert to fraction form
    11,182.98/15,435.72 = 7,406.76/x
  3. Step 3: Cross multiply
    11,182.98x = 15,435.72 × 7,406.76
  4. Step 4: Simplify right side
    11,182.98x = 114,328,673.47
  5. Step 5: Solve for x
    x = 114,328,673.47/11,182.98
  6. Step 6: Final answer
    x = 10,223.45

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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.