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Finding the Fourth Proportional to 10,706.12, 14,774.46 and 5,990.50

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Solution

The fourth proportional to 10,706.12, 14,774.46 and 5,990.50 is: 8,266.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.12 : 14,774.46 = 5,990.50 : x
  2. Step 2: Convert to fraction form
    10,706.12/14,774.46 = 5,990.50/x
  3. Step 3: Cross multiply
    10,706.12x = 14,774.46 × 5,990.50
  4. Step 4: Simplify right side
    10,706.12x = 88,506,402.63
  5. Step 5: Solve for x
    x = 88,506,402.63/10,706.12
  6. Step 6: Final answer
    x = 8,266.90

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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.