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Finding the Fourth Proportional to 10,054.18, 13,875.18 and 6,074.50

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Solution

The fourth proportional to 10,054.18, 13,875.18 and 6,074.50 is: 8,383.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.18 : 13,875.18 = 6,074.50 : x
  2. Step 2: Convert to fraction form
    10,054.18/13,875.18 = 6,074.50/x
  3. Step 3: Cross multiply
    10,054.18x = 13,875.18 × 6,074.50
  4. Step 4: Simplify right side
    10,054.18x = 84,284,780.91
  5. Step 5: Solve for x
    x = 84,284,780.91/10,054.18
  6. Step 6: Final answer
    x = 8,383.06

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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.