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Finding the Fourth Proportional to 6,507.16, 9,762.78 and 2,123.59

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Solution

The fourth proportional to 6,507.16, 9,762.78 and 2,123.59 is: 3,186.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.16 : 9,762.78 = 2,123.59 : x
  2. Step 2: Convert to fraction form
    6,507.16/9,762.78 = 2,123.59/x
  3. Step 3: Cross multiply
    6,507.16x = 9,762.78 × 2,123.59
  4. Step 4: Simplify right side
    6,507.16x = 20,732,122.88
  5. Step 5: Solve for x
    x = 20,732,122.88/6,507.16
  6. Step 6: Final answer
    x = 3,186.05

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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.