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Finding the Fourth Proportional to 7,686.95, 11,513.37 and 6,275.93

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Solution

The fourth proportional to 7,686.95, 11,513.37 and 6,275.93 is: 9,399.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.95 : 11,513.37 = 6,275.93 : x
  2. Step 2: Convert to fraction form
    7,686.95/11,513.37 = 6,275.93/x
  3. Step 3: Cross multiply
    7,686.95x = 11,513.37 × 6,275.93
  4. Step 4: Simplify right side
    7,686.95x = 72,257,104.18
  5. Step 5: Solve for x
    x = 72,257,104.18/7,686.95
  6. Step 6: Final answer
    x = 9,399.97

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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.