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Finding the Fourth Proportional to 6,835.40, 10,253.08 and 5,277.66

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Solution

The fourth proportional to 6,835.40, 10,253.08 and 5,277.66 is: 7,916.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.40 : 10,253.08 = 5,277.66 : x
  2. Step 2: Convert to fraction form
    6,835.40/10,253.08 = 5,277.66/x
  3. Step 3: Cross multiply
    6,835.40x = 10,253.08 × 5,277.66
  4. Step 4: Simplify right side
    6,835.40x = 54,112,270.19
  5. Step 5: Solve for x
    x = 54,112,270.19/6,835.40
  6. Step 6: Final answer
    x = 7,916.47

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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.