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Finding the Fourth Proportional to 12,810.45, 17,676.63 and 7,506.93

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Solution

The fourth proportional to 12,810.45, 17,676.63 and 7,506.93 is: 10,358.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810.45 : 17,676.63 = 7,506.93 : x
  2. Step 2: Convert to fraction form
    12,810.45/17,676.63 = 7,506.93/x
  3. Step 3: Cross multiply
    12,810.45x = 17,676.63 × 7,506.93
  4. Step 4: Simplify right side
    12,810.45x = 132,697,224.05
  5. Step 5: Solve for x
    x = 132,697,224.05/12,810.45
  6. Step 6: Final answer
    x = 10,358.51

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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.