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Finding the Fourth Proportional to 11,685.51, 16,125.89 and 7,207.47

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Solution

The fourth proportional to 11,685.51, 16,125.89 and 7,207.47 is: 9,946.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,685.51 : 16,125.89 = 7,207.47 : x
  2. Step 2: Convert to fraction form
    11,685.51/16,125.89 = 7,207.47/x
  3. Step 3: Cross multiply
    11,685.51x = 16,125.89 × 7,207.47
  4. Step 4: Simplify right side
    11,685.51x = 116,226,832.36
  5. Step 5: Solve for x
    x = 116,226,832.36/11,685.51
  6. Step 6: Final answer
    x = 9,946.24

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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.