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Finding the Fourth Proportional to 8,417.48, 12,613.26 and 5,333

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Solution

The fourth proportional to 8,417.48, 12,613.26 and 5,333 is: 7,991.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.48 : 12,613.26 = 5,333 : x
  2. Step 2: Convert to fraction form
    8,417.48/12,613.26 = 5,333/x
  3. Step 3: Cross multiply
    8,417.48x = 12,613.26 × 5,333
  4. Step 4: Simplify right side
    8,417.48x = 67,266,515.58
  5. Step 5: Solve for x
    x = 67,266,515.58/8,417.48
  6. Step 6: Final answer
    x = 7,991.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.