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Finding the Fourth Proportional to 7,801.02, 10,762.34 and 4,811.67

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Solution

The fourth proportional to 7,801.02, 10,762.34 and 4,811.67 is: 6,638.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.02 : 10,762.34 = 4,811.67 : x
  2. Step 2: Convert to fraction form
    7,801.02/10,762.34 = 4,811.67/x
  3. Step 3: Cross multiply
    7,801.02x = 10,762.34 × 4,811.67
  4. Step 4: Simplify right side
    7,801.02x = 51,784,804.45
  5. Step 5: Solve for x
    x = 51,784,804.45/7,801.02
  6. Step 6: Final answer
    x = 6,638.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.