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Finding the Fourth Proportional to 7,460.53, 10,292.09 and 4,771.06

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Solution

The fourth proportional to 7,460.53, 10,292.09 and 4,771.06 is: 6,581.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.53 : 10,292.09 = 4,771.06 : x
  2. Step 2: Convert to fraction form
    7,460.53/10,292.09 = 4,771.06/x
  3. Step 3: Cross multiply
    7,460.53x = 10,292.09 × 4,771.06
  4. Step 4: Simplify right side
    7,460.53x = 49,104,129.33
  5. Step 5: Solve for x
    x = 49,104,129.33/7,460.53
  6. Step 6: Final answer
    x = 6,581.86

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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.