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Finding the Fourth Proportional to 10,596.99, 15,894.78 and 4,355.40

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Solution

The fourth proportional to 10,596.99, 15,894.78 and 4,355.40 is: 6,532.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.99 : 15,894.78 = 4,355.40 : x
  2. Step 2: Convert to fraction form
    10,596.99/15,894.78 = 4,355.40/x
  3. Step 3: Cross multiply
    10,596.99x = 15,894.78 × 4,355.40
  4. Step 4: Simplify right side
    10,596.99x = 69,228,124.81
  5. Step 5: Solve for x
    x = 69,228,124.81/10,596.99
  6. Step 6: Final answer
    x = 6,532.81

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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.