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Finding the Fourth Proportional to 11,466.11, 15,823.08 and 6,431.60

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Solution

The fourth proportional to 11,466.11, 15,823.08 and 6,431.60 is: 8,875.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.11 : 15,823.08 = 6,431.60 : x
  2. Step 2: Convert to fraction form
    11,466.11/15,823.08 = 6,431.60/x
  3. Step 3: Cross multiply
    11,466.11x = 15,823.08 × 6,431.60
  4. Step 4: Simplify right side
    11,466.11x = 101,767,642.21
  5. Step 5: Solve for x
    x = 101,767,642.21/11,466.11
  6. Step 6: Final answer
    x = 8,875.52

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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.