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Finding the Fourth Proportional to 10,362.58, 15,550.35 and 4,206.58

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Solution

The fourth proportional to 10,362.58, 15,550.35 and 4,206.58 is: 6,312.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362.58 : 15,550.35 = 4,206.58 : x
  2. Step 2: Convert to fraction form
    10,362.58/15,550.35 = 4,206.58/x
  3. Step 3: Cross multiply
    10,362.58x = 15,550.35 × 4,206.58
  4. Step 4: Simplify right side
    10,362.58x = 65,413,791.30
  5. Step 5: Solve for x
    x = 65,413,791.30/10,362.58
  6. Step 6: Final answer
    x = 6,312.50

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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.