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Finding the Fourth Proportional to 12,690.06, 17,510.20 and 7,971

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Solution

The fourth proportional to 12,690.06, 17,510.20 and 7,971 is: 10,998.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,690.06 : 17,510.20 = 7,971 : x
  2. Step 2: Convert to fraction form
    12,690.06/17,510.20 = 7,971/x
  3. Step 3: Cross multiply
    12,690.06x = 17,510.20 × 7,971
  4. Step 4: Simplify right side
    12,690.06x = 139,573,804.20
  5. Step 5: Solve for x
    x = 139,573,804.20/12,690.06
  6. Step 6: Final answer
    x = 10,998.67

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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.