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Finding the Fourth Proportional to 7,762.40, 11,635.36 and 5,580.84

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Solution

The fourth proportional to 7,762.40, 11,635.36 and 5,580.84 is: 8,365.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.40 : 11,635.36 = 5,580.84 : x
  2. Step 2: Convert to fraction form
    7,762.40/11,635.36 = 5,580.84/x
  3. Step 3: Cross multiply
    7,762.40x = 11,635.36 × 5,580.84
  4. Step 4: Simplify right side
    7,762.40x = 64,935,082.50
  5. Step 5: Solve for x
    x = 64,935,082.50/7,762.40
  6. Step 6: Final answer
    x = 8,365.34

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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.