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Finding the Fourth Proportional to 10,466.01, 14,452.47 and 7,808.82

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Solution

The fourth proportional to 10,466.01, 14,452.47 and 7,808.82 is: 10,783.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.01 : 14,452.47 = 7,808.82 : x
  2. Step 2: Convert to fraction form
    10,466.01/14,452.47 = 7,808.82/x
  3. Step 3: Cross multiply
    10,466.01x = 14,452.47 × 7,808.82
  4. Step 4: Simplify right side
    10,466.01x = 112,856,736.79
  5. Step 5: Solve for x
    x = 112,856,736.79/10,466.01
  6. Step 6: Final answer
    x = 10,783.17

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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.