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Finding the Fourth Proportional to 7,699.10, 11,549.86 and 2,503.76

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Solution

The fourth proportional to 7,699.10, 11,549.86 and 2,503.76 is: 3,756.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.10 : 11,549.86 = 2,503.76 : x
  2. Step 2: Convert to fraction form
    7,699.10/11,549.86 = 2,503.76/x
  3. Step 3: Cross multiply
    7,699.10x = 11,549.86 × 2,503.76
  4. Step 4: Simplify right side
    7,699.10x = 28,918,077.47
  5. Step 5: Solve for x
    x = 28,918,077.47/7,699.10
  6. Step 6: Final answer
    x = 3,756.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.