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Finding the Fourth Proportional to 12,095.40, 16,675.14 and 7,838.76

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Solution

The fourth proportional to 12,095.40, 16,675.14 and 7,838.76 is: 10,806.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,095.40 : 16,675.14 = 7,838.76 : x
  2. Step 2: Convert to fraction form
    12,095.40/16,675.14 = 7,838.76/x
  3. Step 3: Cross multiply
    12,095.40x = 16,675.14 × 7,838.76
  4. Step 4: Simplify right side
    12,095.40x = 130,712,420.43
  5. Step 5: Solve for x
    x = 130,712,420.43/12,095.40
  6. Step 6: Final answer
    x = 10,806.79

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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.