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Finding the Fourth Proportional to 7,685.87, 10,602.49 and 4,852.23

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Solution

The fourth proportional to 7,685.87, 10,602.49 and 4,852.23 is: 6,693.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.87 : 10,602.49 = 4,852.23 : x
  2. Step 2: Convert to fraction form
    7,685.87/10,602.49 = 4,852.23/x
  3. Step 3: Cross multiply
    7,685.87x = 10,602.49 × 4,852.23
  4. Step 4: Simplify right side
    7,685.87x = 51,445,720.05
  5. Step 5: Solve for x
    x = 51,445,720.05/7,685.87
  6. Step 6: Final answer
    x = 6,693.55

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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.