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Finding the Fourth Proportional to 7,810.85, 11,703.31 and 5,497.49

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Solution

The fourth proportional to 7,810.85, 11,703.31 and 5,497.49 is: 8,237.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.85 : 11,703.31 = 5,497.49 : x
  2. Step 2: Convert to fraction form
    7,810.85/11,703.31 = 5,497.49/x
  3. Step 3: Cross multiply
    7,810.85x = 11,703.31 × 5,497.49
  4. Step 4: Simplify right side
    7,810.85x = 64,338,829.69
  5. Step 5: Solve for x
    x = 64,338,829.69/7,810.85
  6. Step 6: Final answer
    x = 8,237.11

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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.