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Finding the Fourth Proportional to 7,864.74, 10,853.42 and 4,328.02

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Solution

The fourth proportional to 7,864.74, 10,853.42 and 4,328.02 is: 5,972.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.74 : 10,853.42 = 4,328.02 : x
  2. Step 2: Convert to fraction form
    7,864.74/10,853.42 = 4,328.02/x
  3. Step 3: Cross multiply
    7,864.74x = 10,853.42 × 4,328.02
  4. Step 4: Simplify right side
    7,864.74x = 46,973,810.76
  5. Step 5: Solve for x
    x = 46,973,810.76/7,864.74
  6. Step 6: Final answer
    x = 5,972.71

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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.