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Finding the Fourth Proportional to 10,730.36, 14,808.52 and 6,016.16

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Solution

The fourth proportional to 10,730.36, 14,808.52 and 6,016.16 is: 8,302.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.36 : 14,808.52 = 6,016.16 : x
  2. Step 2: Convert to fraction form
    10,730.36/14,808.52 = 6,016.16/x
  3. Step 3: Cross multiply
    10,730.36x = 14,808.52 × 6,016.16
  4. Step 4: Simplify right side
    10,730.36x = 89,090,425.68
  5. Step 5: Solve for x
    x = 89,090,425.68/10,730.36
  6. Step 6: Final answer
    x = 8,302.65

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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.