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Finding the Fourth Proportional to 10,706.32, 16,059.59 and 4,783.50

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Solution

The fourth proportional to 10,706.32, 16,059.59 and 4,783.50 is: 7,175.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.32 : 16,059.59 = 4,783.50 : x
  2. Step 2: Convert to fraction form
    10,706.32/16,059.59 = 4,783.50/x
  3. Step 3: Cross multiply
    10,706.32x = 16,059.59 × 4,783.50
  4. Step 4: Simplify right side
    10,706.32x = 76,821,011.07
  5. Step 5: Solve for x
    x = 76,821,011.07/10,706.32
  6. Step 6: Final answer
    x = 7,175.30

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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.