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Finding the Fourth Proportional to 7,664.50, 10,577.02 and 4,352.50

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Solution

The fourth proportional to 7,664.50, 10,577.02 and 4,352.50 is: 6,006.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.50 : 10,577.02 = 4,352.50 : x
  2. Step 2: Convert to fraction form
    7,664.50/10,577.02 = 4,352.50/x
  3. Step 3: Cross multiply
    7,664.50x = 10,577.02 × 4,352.50
  4. Step 4: Simplify right side
    7,664.50x = 46,036,479.55
  5. Step 5: Solve for x
    x = 46,036,479.55/7,664.50
  6. Step 6: Final answer
    x = 6,006.46

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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.