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Finding the Fourth Proportional to 12,866.03, 17,751.62 and 7,830.46

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Solution

The fourth proportional to 12,866.03, 17,751.62 and 7,830.46 is: 10,803.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,866.03 : 17,751.62 = 7,830.46 : x
  2. Step 2: Convert to fraction form
    12,866.03/17,751.62 = 7,830.46/x
  3. Step 3: Cross multiply
    12,866.03x = 17,751.62 × 7,830.46
  4. Step 4: Simplify right side
    12,866.03x = 139,003,350.35
  5. Step 5: Solve for x
    x = 139,003,350.35/12,866.03
  6. Step 6: Final answer
    x = 10,803.90

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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.