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Finding the Fourth Proportional to 10,267.59, 15,402.59 and 3,602.05

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Solution

The fourth proportional to 10,267.59, 15,402.59 and 3,602.05 is: 5,403.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267.59 : 15,402.59 = 3,602.05 : x
  2. Step 2: Convert to fraction form
    10,267.59/15,402.59 = 3,602.05/x
  3. Step 3: Cross multiply
    10,267.59x = 15,402.59 × 3,602.05
  4. Step 4: Simplify right side
    10,267.59x = 55,480,899.31
  5. Step 5: Solve for x
    x = 55,480,899.31/10,267.59
  6. Step 6: Final answer
    x = 5,403.50

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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.