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Finding the Fourth Proportional to 7,664.90, 10,577.94 and 4,307.54

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Solution

The fourth proportional to 7,664.90, 10,577.94 and 4,307.54 is: 5,944.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.90 : 10,577.94 = 4,307.54 : x
  2. Step 2: Convert to fraction form
    7,664.90/10,577.94 = 4,307.54/x
  3. Step 3: Cross multiply
    7,664.90x = 10,577.94 × 4,307.54
  4. Step 4: Simplify right side
    7,664.90x = 45,564,899.67
  5. Step 5: Solve for x
    x = 45,564,899.67/7,664.90
  6. Step 6: Final answer
    x = 5,944.62

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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.