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Finding the Fourth Proportional to 11,703.37, 16,156.52 and 7,946.41

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Solution

The fourth proportional to 11,703.37, 16,156.52 and 7,946.41 is: 10,970.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,703.37 : 16,156.52 = 7,946.41 : x
  2. Step 2: Convert to fraction form
    11,703.37/16,156.52 = 7,946.41/x
  3. Step 3: Cross multiply
    11,703.37x = 16,156.52 × 7,946.41
  4. Step 4: Simplify right side
    11,703.37x = 128,386,332.09
  5. Step 5: Solve for x
    x = 128,386,332.09/11,703.37
  6. Step 6: Final answer
    x = 10,970.03

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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.