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Finding the Fourth Proportional to 10,730.84, 14,808.80 and 6,015

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Solution

The fourth proportional to 10,730.84, 14,808.80 and 6,015 is: 8,300.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.84 : 14,808.80 = 6,015 : x
  2. Step 2: Convert to fraction form
    10,730.84/14,808.80 = 6,015/x
  3. Step 3: Cross multiply
    10,730.84x = 14,808.80 × 6,015
  4. Step 4: Simplify right side
    10,730.84x = 89,074,932
  5. Step 5: Solve for x
    x = 89,074,932/10,730.84
  6. Step 6: Final answer
    x = 8,300.83

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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.