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Finding the Fourth Proportional to 13,811.08, 19,058.88 and 7,678.75

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Solution

The fourth proportional to 13,811.08, 19,058.88 and 7,678.75 is: 10,596.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.08 : 19,058.88 = 7,678.75 : x
  2. Step 2: Convert to fraction form
    13,811.08/19,058.88 = 7,678.75/x
  3. Step 3: Cross multiply
    13,811.08x = 19,058.88 × 7,678.75
  4. Step 4: Simplify right side
    13,811.08x = 146,348,374.80
  5. Step 5: Solve for x
    x = 146,348,374.80/13,811.08
  6. Step 6: Final answer
    x = 10,596.45

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