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Finding the Fourth Proportional to 11,703.69, 16,152.51 and 7,733.07

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Solution

The fourth proportional to 11,703.69, 16,152.51 and 7,733.07 is: 10,672.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,703.69 : 16,152.51 = 7,733.07 : x
  2. Step 2: Convert to fraction form
    11,703.69/16,152.51 = 7,733.07/x
  3. Step 3: Cross multiply
    11,703.69x = 16,152.51 × 7,733.07
  4. Step 4: Simplify right side
    11,703.69x = 124,908,519.50
  5. Step 5: Solve for x
    x = 124,908,519.50/11,703.69
  6. Step 6: Final answer
    x = 10,672.58

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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.