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Finding the Fourth Proportional to 7,688.92, 11,539.86 and 3,075.16

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Solution

The fourth proportional to 7,688.92, 11,539.86 and 3,075.16 is: 4,615.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688.92 : 11,539.86 = 3,075.16 : x
  2. Step 2: Convert to fraction form
    7,688.92/11,539.86 = 3,075.16/x
  3. Step 3: Cross multiply
    7,688.92x = 11,539.86 × 3,075.16
  4. Step 4: Simplify right side
    7,688.92x = 35,486,915.88
  5. Step 5: Solve for x
    x = 35,486,915.88/7,688.92
  6. Step 6: Final answer
    x = 4,615.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.