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Finding the Fourth Proportional to 10,462, 15,696.60 and 5,848.24

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Solution

The fourth proportional to 10,462, 15,696.60 and 5,848.24 is: 8,774.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462 : 15,696.60 = 5,848.24 : x
  2. Step 2: Convert to fraction form
    10,462/15,696.60 = 5,848.24/x
  3. Step 3: Cross multiply
    10,462x = 15,696.60 × 5,848.24
  4. Step 4: Simplify right side
    10,462x = 91,797,483.98
  5. Step 5: Solve for x
    x = 91,797,483.98/10,462
  6. Step 6: Final answer
    x = 8,774.37

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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.