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Finding the Fourth Proportional to 11,804.16, 17,698.14 and 4,407.24

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Solution

The fourth proportional to 11,804.16, 17,698.14 and 4,407.24 is: 6,607.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.16 : 17,698.14 = 4,407.24 : x
  2. Step 2: Convert to fraction form
    11,804.16/17,698.14 = 4,407.24/x
  3. Step 3: Cross multiply
    11,804.16x = 17,698.14 × 4,407.24
  4. Step 4: Simplify right side
    11,804.16x = 77,999,950.53
  5. Step 5: Solve for x
    x = 77,999,950.53/11,804.16
  6. Step 6: Final answer
    x = 6,607.84

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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.