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Finding the Fourth Proportional to 11,417.58, 17,099.40 and 7,894.47

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Solution

The fourth proportional to 11,417.58, 17,099.40 and 7,894.47 is: 11,823.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.58 : 17,099.40 = 7,894.47 : x
  2. Step 2: Convert to fraction form
    11,417.58/17,099.40 = 7,894.47/x
  3. Step 3: Cross multiply
    11,417.58x = 17,099.40 × 7,894.47
  4. Step 4: Simplify right side
    11,417.58x = 134,990,700.32
  5. Step 5: Solve for x
    x = 134,990,700.32/11,417.58
  6. Step 6: Final answer
    x = 11,823.06

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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.