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Finding the Fourth Proportional to 10,482.20, 14,466.06 and 6,006.50

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Solution

The fourth proportional to 10,482.20, 14,466.06 and 6,006.50 is: 8,289.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.20 : 14,466.06 = 6,006.50 : x
  2. Step 2: Convert to fraction form
    10,482.20/14,466.06 = 6,006.50/x
  3. Step 3: Cross multiply
    10,482.20x = 14,466.06 × 6,006.50
  4. Step 4: Simplify right side
    10,482.20x = 86,890,389.39
  5. Step 5: Solve for x
    x = 86,890,389.39/10,482.20
  6. Step 6: Final answer
    x = 8,289.33

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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.