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Finding the Fourth Proportional to 10,077.12, 15,051.18 and 7,999.50

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Solution

The fourth proportional to 10,077.12, 15,051.18 and 7,999.50 is: 11,948.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.12 : 15,051.18 = 7,999.50 : x
  2. Step 2: Convert to fraction form
    10,077.12/15,051.18 = 7,999.50/x
  3. Step 3: Cross multiply
    10,077.12x = 15,051.18 × 7,999.50
  4. Step 4: Simplify right side
    10,077.12x = 120,401,914.41
  5. Step 5: Solve for x
    x = 120,401,914.41/10,077.12
  6. Step 6: Final answer
    x = 11,948.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.