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Finding the Fourth Proportional to 7,777.56, 11,666.52 and 2,583.84

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Solution

The fourth proportional to 7,777.56, 11,666.52 and 2,583.84 is: 3,875.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.56 : 11,666.52 = 2,583.84 : x
  2. Step 2: Convert to fraction form
    7,777.56/11,666.52 = 2,583.84/x
  3. Step 3: Cross multiply
    7,777.56x = 11,666.52 × 2,583.84
  4. Step 4: Simplify right side
    7,777.56x = 30,144,421.04
  5. Step 5: Solve for x
    x = 30,144,421.04/7,777.56
  6. Step 6: Final answer
    x = 3,875.82

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Why These Related Problems?

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