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Finding the Fourth Proportional to 7,836.67, 10,814.61 and 4,300.08

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Solution

The fourth proportional to 7,836.67, 10,814.61 and 4,300.08 is: 5,934.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.67 : 10,814.61 = 4,300.08 : x
  2. Step 2: Convert to fraction form
    7,836.67/10,814.61 = 4,300.08/x
  3. Step 3: Cross multiply
    7,836.67x = 10,814.61 × 4,300.08
  4. Step 4: Simplify right side
    7,836.67x = 46,503,688.17
  5. Step 5: Solve for x
    x = 46,503,688.17/7,836.67
  6. Step 6: Final answer
    x = 5,934.11

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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.