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Finding the Fourth Proportional to 7,682.55, 10,602.72 and 4,700.37

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Solution

The fourth proportional to 7,682.55, 10,602.72 and 4,700.37 is: 6,487.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.55 : 10,602.72 = 4,700.37 : x
  2. Step 2: Convert to fraction form
    7,682.55/10,602.72 = 4,700.37/x
  3. Step 3: Cross multiply
    7,682.55x = 10,602.72 × 4,700.37
  4. Step 4: Simplify right side
    7,682.55x = 49,836,707.01
  5. Step 5: Solve for x
    x = 49,836,707.01/7,682.55
  6. Step 6: Final answer
    x = 6,487.00

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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.