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Finding the Fourth Proportional to 7,864.85, 10,853.53 and 4,507.74

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Solution

The fourth proportional to 7,864.85, 10,853.53 and 4,507.74 is: 6,220.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.85 : 10,853.53 = 4,507.74 : x
  2. Step 2: Convert to fraction form
    7,864.85/10,853.53 = 4,507.74/x
  3. Step 3: Cross multiply
    7,864.85x = 10,853.53 × 4,507.74
  4. Step 4: Simplify right side
    7,864.85x = 48,924,880.05
  5. Step 5: Solve for x
    x = 48,924,880.05/7,864.85
  6. Step 6: Final answer
    x = 6,220.70

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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.