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Finding the Fourth Proportional to 8,354.17, 11,529.00 and 4,577.67

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Solution

The fourth proportional to 8,354.17, 11,529.00 and 4,577.67 is: 6,317.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.17 : 11,529.00 = 4,577.67 : x
  2. Step 2: Convert to fraction form
    8,354.17/11,529.00 = 4,577.67/x
  3. Step 3: Cross multiply
    8,354.17x = 11,529.00 × 4,577.67
  4. Step 4: Simplify right side
    8,354.17x = 52,775,989.01
  5. Step 5: Solve for x
    x = 52,775,989.01/8,354.17
  6. Step 6: Final answer
    x = 6,317.32

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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.