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Finding the Fourth Proportional to 10,312, 14,230.62 and 5,596.32

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Solution

The fourth proportional to 10,312, 14,230.62 and 5,596.32 is: 7,722.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,312 : 14,230.62 = 5,596.32 : x
  2. Step 2: Convert to fraction form
    10,312/14,230.62 = 5,596.32/x
  3. Step 3: Cross multiply
    10,312x = 14,230.62 × 5,596.32
  4. Step 4: Simplify right side
    10,312x = 79,639,103.32
  5. Step 5: Solve for x
    x = 79,639,103.32/10,312
  6. Step 6: Final answer
    x = 7,722.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.