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Finding the Fourth Proportional to 11,885.90, 17,828.94 and 3,565.98

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Solution

The fourth proportional to 11,885.90, 17,828.94 and 3,565.98 is: 5,349.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.90 : 17,828.94 = 3,565.98 : x
  2. Step 2: Convert to fraction form
    11,885.90/17,828.94 = 3,565.98/x
  3. Step 3: Cross multiply
    11,885.90x = 17,828.94 × 3,565.98
  4. Step 4: Simplify right side
    11,885.90x = 63,577,643.46
  5. Step 5: Solve for x
    x = 63,577,643.46/11,885.90
  6. Step 6: Final answer
    x = 5,349.00

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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.