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Finding the Fourth Proportional to 10,613.61, 14,642.24 and 6,627.81

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Solution

The fourth proportional to 10,613.61, 14,642.24 and 6,627.81 is: 9,143.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.61 : 14,642.24 = 6,627.81 : x
  2. Step 2: Convert to fraction form
    10,613.61/14,642.24 = 6,627.81/x
  3. Step 3: Cross multiply
    10,613.61x = 14,642.24 × 6,627.81
  4. Step 4: Simplify right side
    10,613.61x = 97,045,984.69
  5. Step 5: Solve for x
    x = 97,045,984.69/10,613.61
  6. Step 6: Final answer
    x = 9,143.54

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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.