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Finding the Fourth Proportional to 10,659.19, 15,981.94 and 4,423.50

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Solution

The fourth proportional to 10,659.19, 15,981.94 and 4,423.50 is: 6,632.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,659.19 : 15,981.94 = 4,423.50 : x
  2. Step 2: Convert to fraction form
    10,659.19/15,981.94 = 4,423.50/x
  3. Step 3: Cross multiply
    10,659.19x = 15,981.94 × 4,423.50
  4. Step 4: Simplify right side
    10,659.19x = 70,696,137.10
  5. Step 5: Solve for x
    x = 70,696,137.10/10,659.19
  6. Step 6: Final answer
    x = 6,632.41

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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.