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Finding the Fourth Proportional to 8,390.16, 11,578.68 and 6,290.64

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Solution

The fourth proportional to 8,390.16, 11,578.68 and 6,290.64 is: 8,681.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.16 : 11,578.68 = 6,290.64 : x
  2. Step 2: Convert to fraction form
    8,390.16/11,578.68 = 6,290.64/x
  3. Step 3: Cross multiply
    8,390.16x = 11,578.68 × 6,290.64
  4. Step 4: Simplify right side
    8,390.16x = 72,837,307.56
  5. Step 5: Solve for x
    x = 72,837,307.56/8,390.16
  6. Step 6: Final answer
    x = 8,681.28

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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.