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Finding the Fourth Proportional to 8,477.36, 11,700.45 and 7,646.30

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Solution

The fourth proportional to 8,477.36, 11,700.45 and 7,646.30 is: 10,553.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477.36 : 11,700.45 = 7,646.30 : x
  2. Step 2: Convert to fraction form
    8,477.36/11,700.45 = 7,646.30/x
  3. Step 3: Cross multiply
    8,477.36x = 11,700.45 × 7,646.30
  4. Step 4: Simplify right side
    8,477.36x = 89,465,136.21
  5. Step 5: Solve for x
    x = 89,465,136.21/8,477.36
  6. Step 6: Final answer
    x = 10,553.42

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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.