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Finding the Fourth Proportional to 10,598.06, 15,904.29 and 3,672.50

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Solution

The fourth proportional to 10,598.06, 15,904.29 and 3,672.50 is: 5,511.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.06 : 15,904.29 = 3,672.50 : x
  2. Step 2: Convert to fraction form
    10,598.06/15,904.29 = 3,672.50/x
  3. Step 3: Cross multiply
    10,598.06x = 15,904.29 × 3,672.50
  4. Step 4: Simplify right side
    10,598.06x = 58,408,505.03
  5. Step 5: Solve for x
    x = 58,408,505.03/10,598.06
  6. Step 6: Final answer
    x = 5,511.24

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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.