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Finding the Fourth Proportional to 11,925.76, 17,888.64 and 4,134.58

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Solution

The fourth proportional to 11,925.76, 17,888.64 and 4,134.58 is: 6,201.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,925.76 : 17,888.64 = 4,134.58 : x
  2. Step 2: Convert to fraction form
    11,925.76/17,888.64 = 4,134.58/x
  3. Step 3: Cross multiply
    11,925.76x = 17,888.64 × 4,134.58
  4. Step 4: Simplify right side
    11,925.76x = 73,962,013.17
  5. Step 5: Solve for x
    x = 73,962,013.17/11,925.76
  6. Step 6: Final answer
    x = 6,201.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.