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Finding the Fourth Proportional to 10,730.56, 14,808.72 and 6,014.56

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Solution

The fourth proportional to 10,730.56, 14,808.72 and 6,014.56 is: 8,300.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.56 : 14,808.72 = 6,014.56 : x
  2. Step 2: Convert to fraction form
    10,730.56/14,808.72 = 6,014.56/x
  3. Step 3: Cross multiply
    10,730.56x = 14,808.72 × 6,014.56
  4. Step 4: Simplify right side
    10,730.56x = 89,067,934.96
  5. Step 5: Solve for x
    x = 89,067,934.96/10,730.56
  6. Step 6: Final answer
    x = 8,300.40

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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.