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Finding the Fourth Proportional to 10,703.69, 16,055.23 and 3,307.07

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Solution

The fourth proportional to 10,703.69, 16,055.23 and 3,307.07 is: 4,960.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.69 : 16,055.23 = 3,307.07 : x
  2. Step 2: Convert to fraction form
    10,703.69/16,055.23 = 3,307.07/x
  3. Step 3: Cross multiply
    10,703.69x = 16,055.23 × 3,307.07
  4. Step 4: Simplify right side
    10,703.69x = 53,095,769.48
  5. Step 5: Solve for x
    x = 53,095,769.48/10,703.69
  6. Step 6: Final answer
    x = 4,960.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.