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Finding the Fourth Proportional to 11,612.23, 16,024.86 and 6,576.45

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Solution

The fourth proportional to 11,612.23, 16,024.86 and 6,576.45 is: 9,075.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612.23 : 16,024.86 = 6,576.45 : x
  2. Step 2: Convert to fraction form
    11,612.23/16,024.86 = 6,576.45/x
  3. Step 3: Cross multiply
    11,612.23x = 16,024.86 × 6,576.45
  4. Step 4: Simplify right side
    11,612.23x = 105,386,690.55
  5. Step 5: Solve for x
    x = 105,386,690.55/11,612.23
  6. Step 6: Final answer
    x = 9,075.49

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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.