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Finding the Fourth Proportional to 12,686.94, 17,501.04 and 7,648.11

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Solution

The fourth proportional to 12,686.94, 17,501.04 and 7,648.11 is: 10,550.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.94 : 17,501.04 = 7,648.11 : x
  2. Step 2: Convert to fraction form
    12,686.94/17,501.04 = 7,648.11/x
  3. Step 3: Cross multiply
    12,686.94x = 17,501.04 × 7,648.11
  4. Step 4: Simplify right side
    12,686.94x = 133,849,879.03
  5. Step 5: Solve for x
    x = 133,849,879.03/12,686.94
  6. Step 6: Final answer
    x = 10,550.21

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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.