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Finding the Fourth Proportional to 7,762.34, 11,622.84 and 5,301.96

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Solution

The fourth proportional to 7,762.34, 11,622.84 and 5,301.96 is: 7,938.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.34 : 11,622.84 = 5,301.96 : x
  2. Step 2: Convert to fraction form
    7,762.34/11,622.84 = 5,301.96/x
  3. Step 3: Cross multiply
    7,762.34x = 11,622.84 × 5,301.96
  4. Step 4: Simplify right side
    7,762.34x = 61,623,832.77
  5. Step 5: Solve for x
    x = 61,623,832.77/7,762.34
  6. Step 6: Final answer
    x = 7,938.82

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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.