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Finding the Fourth Proportional to 8,233.95, 11,303.40 and 7,569.65

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Solution

The fourth proportional to 8,233.95, 11,303.40 and 7,569.65 is: 10,391.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.95 : 11,303.40 = 7,569.65 : x
  2. Step 2: Convert to fraction form
    8,233.95/11,303.40 = 7,569.65/x
  3. Step 3: Cross multiply
    8,233.95x = 11,303.40 × 7,569.65
  4. Step 4: Simplify right side
    8,233.95x = 85,562,795.88
  5. Step 5: Solve for x
    x = 85,562,795.88/8,233.95
  6. Step 6: Final answer
    x = 10,391.46

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.