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Finding the Fourth Proportional to 7,865.42, 10,853.63 and 4,880.16

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Solution

The fourth proportional to 7,865.42, 10,853.63 and 4,880.16 is: 6,734.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.42 : 10,853.63 = 4,880.16 : x
  2. Step 2: Convert to fraction form
    7,865.42/10,853.63 = 4,880.16/x
  3. Step 3: Cross multiply
    7,865.42x = 10,853.63 × 4,880.16
  4. Step 4: Simplify right side
    7,865.42x = 52,967,444.88
  5. Step 5: Solve for x
    x = 52,967,444.88/7,865.42
  6. Step 6: Final answer
    x = 6,734.22

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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.