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Finding the Fourth Proportional to 7,105.82, 9,810.04 and 4,926.92

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Solution

The fourth proportional to 7,105.82, 9,810.04 and 4,926.92 is: 6,801.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.82 : 9,810.04 = 4,926.92 : x
  2. Step 2: Convert to fraction form
    7,105.82/9,810.04 = 4,926.92/x
  3. Step 3: Cross multiply
    7,105.82x = 9,810.04 × 4,926.92
  4. Step 4: Simplify right side
    7,105.82x = 48,333,266.93
  5. Step 5: Solve for x
    x = 48,333,266.93/7,105.82
  6. Step 6: Final answer
    x = 6,801.93

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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.