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Finding the Fourth Proportional to 11,774.72, 16,247.20 and 7,058.08

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Solution

The fourth proportional to 11,774.72, 16,247.20 and 7,058.08 is: 9,739.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.72 : 16,247.20 = 7,058.08 : x
  2. Step 2: Convert to fraction form
    11,774.72/16,247.20 = 7,058.08/x
  3. Step 3: Cross multiply
    11,774.72x = 16,247.20 × 7,058.08
  4. Step 4: Simplify right side
    11,774.72x = 114,674,037.38
  5. Step 5: Solve for x
    x = 114,674,037.38/11,774.72
  6. Step 6: Final answer
    x = 9,739.00

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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.