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Finding the Fourth Proportional to 11,510.34, 15,884.13 and 6,794.58

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Solution

The fourth proportional to 11,510.34, 15,884.13 and 6,794.58 is: 9,376.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,510.34 : 15,884.13 = 6,794.58 : x
  2. Step 2: Convert to fraction form
    11,510.34/15,884.13 = 6,794.58/x
  3. Step 3: Cross multiply
    11,510.34x = 15,884.13 × 6,794.58
  4. Step 4: Simplify right side
    11,510.34x = 107,925,992.02
  5. Step 5: Solve for x
    x = 107,925,992.02/11,510.34
  6. Step 6: Final answer
    x = 9,376.44

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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.