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Finding the Fourth Proportional to 7,271.51, 10,034.69 and 4,757.87

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Solution

The fourth proportional to 7,271.51, 10,034.69 and 4,757.87 is: 6,565.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,271.51 : 10,034.69 = 4,757.87 : x
  2. Step 2: Convert to fraction form
    7,271.51/10,034.69 = 4,757.87/x
  3. Step 3: Cross multiply
    7,271.51x = 10,034.69 × 4,757.87
  4. Step 4: Simplify right side
    7,271.51x = 47,743,751.81
  5. Step 5: Solve for x
    x = 47,743,751.81/7,271.51
  6. Step 6: Final answer
    x = 6,565.87

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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.