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Finding the Fourth Proportional to 12,868.66, 17,758.62 and 7,203.92

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Solution

The fourth proportional to 12,868.66, 17,758.62 and 7,203.92 is: 9,941.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,868.66 : 17,758.62 = 7,203.92 : x
  2. Step 2: Convert to fraction form
    12,868.66/17,758.62 = 7,203.92/x
  3. Step 3: Cross multiply
    12,868.66x = 17,758.62 × 7,203.92
  4. Step 4: Simplify right side
    12,868.66x = 127,931,722.19
  5. Step 5: Solve for x
    x = 127,931,722.19/12,868.66
  6. Step 6: Final answer
    x = 9,941.34

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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.