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Finding the Fourth Proportional to 10,730.78, 14,808.42 and 6,015.06

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Solution

The fourth proportional to 10,730.78, 14,808.42 and 6,015.06 is: 8,300.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.78 : 14,808.42 = 6,015.06 : x
  2. Step 2: Convert to fraction form
    10,730.78/14,808.42 = 6,015.06/x
  3. Step 3: Cross multiply
    10,730.78x = 14,808.42 × 6,015.06
  4. Step 4: Simplify right side
    10,730.78x = 89,073,511.09
  5. Step 5: Solve for x
    x = 89,073,511.09/10,730.78
  6. Step 6: Final answer
    x = 8,300.75

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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.