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Finding the Fourth Proportional to 7,806.49, 11,699.40 and 4,101.14

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Solution

The fourth proportional to 7,806.49, 11,699.40 and 4,101.14 is: 6,146.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.49 : 11,699.40 = 4,101.14 : x
  2. Step 2: Convert to fraction form
    7,806.49/11,699.40 = 4,101.14/x
  3. Step 3: Cross multiply
    7,806.49x = 11,699.40 × 4,101.14
  4. Step 4: Simplify right side
    7,806.49x = 47,980,877.32
  5. Step 5: Solve for x
    x = 47,980,877.32/7,806.49
  6. Step 6: Final answer
    x = 6,146.28

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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.