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Finding the Fourth Proportional to 10,152.84, 15,231.72 and 3,913.64

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Solution

The fourth proportional to 10,152.84, 15,231.72 and 3,913.64 is: 5,871.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152.84 : 15,231.72 = 3,913.64 : x
  2. Step 2: Convert to fraction form
    10,152.84/15,231.72 = 3,913.64/x
  3. Step 3: Cross multiply
    10,152.84x = 15,231.72 × 3,913.64
  4. Step 4: Simplify right side
    10,152.84x = 59,611,392.50
  5. Step 5: Solve for x
    x = 59,611,392.50/10,152.84
  6. Step 6: Final answer
    x = 5,871.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.