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Finding the Fourth Proportional to 11,607.24, 16,018.98 and 6,572.34

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Solution

The fourth proportional to 11,607.24, 16,018.98 and 6,572.34 is: 9,070.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607.24 : 16,018.98 = 6,572.34 : x
  2. Step 2: Convert to fraction form
    11,607.24/16,018.98 = 6,572.34/x
  3. Step 3: Cross multiply
    11,607.24x = 16,018.98 × 6,572.34
  4. Step 4: Simplify right side
    11,607.24x = 105,282,183.01
  5. Step 5: Solve for x
    x = 105,282,183.01/11,607.24
  6. Step 6: Final answer
    x = 9,070.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.