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Finding the Fourth Proportional to 7,762.50, 11,638.89 and 5,126.76

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Solution

The fourth proportional to 7,762.50, 11,638.89 and 5,126.76 is: 7,686.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.50 : 11,638.89 = 5,126.76 : x
  2. Step 2: Convert to fraction form
    7,762.50/11,638.89 = 5,126.76/x
  3. Step 3: Cross multiply
    7,762.50x = 11,638.89 × 5,126.76
  4. Step 4: Simplify right side
    7,762.50x = 59,669,795.70
  5. Step 5: Solve for x
    x = 59,669,795.70/7,762.50
  6. Step 6: Final answer
    x = 7,686.93

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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.