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Finding the Fourth Proportional to 12,829.10, 17,696.46 and 7,790.76

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Solution

The fourth proportional to 12,829.10, 17,696.46 and 7,790.76 is: 10,746.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,829.10 : 17,696.46 = 7,790.76 : x
  2. Step 2: Convert to fraction form
    12,829.10/17,696.46 = 7,790.76/x
  3. Step 3: Cross multiply
    12,829.10x = 17,696.46 × 7,790.76
  4. Step 4: Simplify right side
    12,829.10x = 137,868,872.71
  5. Step 5: Solve for x
    x = 137,868,872.71/12,829.10
  6. Step 6: Final answer
    x = 10,746.57

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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.