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Finding the Fourth Proportional to 11,530.40, 15,897.78 and 6,812.96

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Solution

The fourth proportional to 11,530.40, 15,897.78 and 6,812.96 is: 9,393.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,530.40 : 15,897.78 = 6,812.96 : x
  2. Step 2: Convert to fraction form
    11,530.40/15,897.78 = 6,812.96/x
  3. Step 3: Cross multiply
    11,530.40x = 15,897.78 × 6,812.96
  4. Step 4: Simplify right side
    11,530.40x = 108,310,939.23
  5. Step 5: Solve for x
    x = 108,310,939.23/11,530.40
  6. Step 6: Final answer
    x = 9,393.51

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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.