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Finding the Fourth Proportional to 11,683.13, 16,124.20 and 7,712.51

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Solution

The fourth proportional to 11,683.13, 16,124.20 and 7,712.51 is: 10,644.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.13 : 16,124.20 = 7,712.51 : x
  2. Step 2: Convert to fraction form
    11,683.13/16,124.20 = 7,712.51/x
  3. Step 3: Cross multiply
    11,683.13x = 16,124.20 × 7,712.51
  4. Step 4: Simplify right side
    11,683.13x = 124,357,953.84
  5. Step 5: Solve for x
    x = 124,357,953.84/11,683.13
  6. Step 6: Final answer
    x = 10,644.24

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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.