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Finding the Fourth Proportional to 11,648.79, 16,075.52 and 6,613.16

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Solution

The fourth proportional to 11,648.79, 16,075.52 and 6,613.16 is: 9,126.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.79 : 16,075.52 = 6,613.16 : x
  2. Step 2: Convert to fraction form
    11,648.79/16,075.52 = 6,613.16/x
  3. Step 3: Cross multiply
    11,648.79x = 16,075.52 × 6,613.16
  4. Step 4: Simplify right side
    11,648.79x = 106,309,872.40
  5. Step 5: Solve for x
    x = 106,309,872.40/11,648.79
  6. Step 6: Final answer
    x = 9,126.26

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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.