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Finding the Fourth Proportional to 10,301.50, 15,423.06 and 6,780.92

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Solution

The fourth proportional to 10,301.50, 15,423.06 and 6,780.92 is: 10,152.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,301.50 : 15,423.06 = 6,780.92 : x
  2. Step 2: Convert to fraction form
    10,301.50/15,423.06 = 6,780.92/x
  3. Step 3: Cross multiply
    10,301.50x = 15,423.06 × 6,780.92
  4. Step 4: Simplify right side
    10,301.50x = 104,582,446.19
  5. Step 5: Solve for x
    x = 104,582,446.19/10,301.50
  6. Step 6: Final answer
    x = 10,152.16

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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.