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Finding the Fourth Proportional to 10,597.50, 15,889.23 and 5,051.70

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Solution

The fourth proportional to 10,597.50, 15,889.23 and 5,051.70 is: 7,574.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.50 : 15,889.23 = 5,051.70 : x
  2. Step 2: Convert to fraction form
    10,597.50/15,889.23 = 5,051.70/x
  3. Step 3: Cross multiply
    10,597.50x = 15,889.23 × 5,051.70
  4. Step 4: Simplify right side
    10,597.50x = 80,267,623.19
  5. Step 5: Solve for x
    x = 80,267,623.19/10,597.50
  6. Step 6: Final answer
    x = 7,574.20

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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.