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Finding the Fourth Proportional to 11,678.63, 16,117.99 and 7,708.01

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Solution

The fourth proportional to 11,678.63, 16,117.99 and 7,708.01 is: 10,638.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.63 : 16,117.99 = 7,708.01 : x
  2. Step 2: Convert to fraction form
    11,678.63/16,117.99 = 7,708.01/x
  3. Step 3: Cross multiply
    11,678.63x = 16,117.99 × 7,708.01
  4. Step 4: Simplify right side
    11,678.63x = 124,237,628.10
  5. Step 5: Solve for x
    x = 124,237,628.10/11,678.63
  6. Step 6: Final answer
    x = 10,638.03

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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.