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Finding the Fourth Proportional to 10,598.88, 15,891.84 and 5,053.92

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Solution

The fourth proportional to 10,598.88, 15,891.84 and 5,053.92 is: 7,577.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.88 : 15,891.84 = 5,053.92 : x
  2. Step 2: Convert to fraction form
    10,598.88/15,891.84 = 5,053.92/x
  3. Step 3: Cross multiply
    10,598.88x = 15,891.84 × 5,053.92
  4. Step 4: Simplify right side
    10,598.88x = 80,316,088.01
  5. Step 5: Solve for x
    x = 80,316,088.01/10,598.88
  6. Step 6: Final answer
    x = 7,577.79

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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.