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Finding the Fourth Proportional to 7,290.65, 10,057.50 and 4,638.92

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Solution

The fourth proportional to 7,290.65, 10,057.50 and 4,638.92 is: 6,399.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,290.65 : 10,057.50 = 4,638.92 : x
  2. Step 2: Convert to fraction form
    7,290.65/10,057.50 = 4,638.92/x
  3. Step 3: Cross multiply
    7,290.65x = 10,057.50 × 4,638.92
  4. Step 4: Simplify right side
    7,290.65x = 46,655,887.61
  5. Step 5: Solve for x
    x = 46,655,887.61/7,290.65
  6. Step 6: Final answer
    x = 6,399.41

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