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Finding the Fourth Proportional to 10,647.48, 15,985.94 and 7,352.44

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Solution

The fourth proportional to 10,647.48, 15,985.94 and 7,352.44 is: 11,038.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.48 : 15,985.94 = 7,352.44 : x
  2. Step 2: Convert to fraction form
    10,647.48/15,985.94 = 7,352.44/x
  3. Step 3: Cross multiply
    10,647.48x = 15,985.94 × 7,352.44
  4. Step 4: Simplify right side
    10,647.48x = 117,535,664.69
  5. Step 5: Solve for x
    x = 117,535,664.69/10,647.48
  6. Step 6: Final answer
    x = 11,038.82

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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.