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Finding the Fourth Proportional to 8,266.87, 11,407.90 and 4,681.75

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Solution

The fourth proportional to 8,266.87, 11,407.90 and 4,681.75 is: 6,460.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.87 : 11,407.90 = 4,681.75 : x
  2. Step 2: Convert to fraction form
    8,266.87/11,407.90 = 4,681.75/x
  3. Step 3: Cross multiply
    8,266.87x = 11,407.90 × 4,681.75
  4. Step 4: Simplify right side
    8,266.87x = 53,408,895.60
  5. Step 5: Solve for x
    x = 53,408,895.60/8,266.87
  6. Step 6: Final answer
    x = 6,460.60

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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.