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Finding the Fourth Proportional to 11,703.22, 16,151.47 and 6,666.32

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Solution

The fourth proportional to 11,703.22, 16,151.47 and 6,666.32 is: 9,200.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,703.22 : 16,151.47 = 6,666.32 : x
  2. Step 2: Convert to fraction form
    11,703.22/16,151.47 = 6,666.32/x
  3. Step 3: Cross multiply
    11,703.22x = 16,151.47 × 6,666.32
  4. Step 4: Simplify right side
    11,703.22x = 107,670,891.20
  5. Step 5: Solve for x
    x = 107,670,891.20/11,703.22
  6. Step 6: Final answer
    x = 9,200.11

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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.