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Finding the Fourth Proportional to 7,139.63, 10,709.42 and 4,762.69

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Solution

The fourth proportional to 7,139.63, 10,709.42 and 4,762.69 is: 7,144.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.63 : 10,709.42 = 4,762.69 : x
  2. Step 2: Convert to fraction form
    7,139.63/10,709.42 = 4,762.69/x
  3. Step 3: Cross multiply
    7,139.63x = 10,709.42 × 4,762.69
  4. Step 4: Simplify right side
    7,139.63x = 51,005,596.95
  5. Step 5: Solve for x
    x = 51,005,596.95/7,139.63
  6. Step 6: Final answer
    x = 7,144.01

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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.