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Finding the Fourth Proportional to 11,340.36, 17,004 and 4,406.76

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Solution

The fourth proportional to 11,340.36, 17,004 and 4,406.76 is: 6,607.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,340.36 : 17,004 = 4,406.76 : x
  2. Step 2: Convert to fraction form
    11,340.36/17,004 = 4,406.76/x
  3. Step 3: Cross multiply
    11,340.36x = 17,004 × 4,406.76
  4. Step 4: Simplify right side
    11,340.36x = 74,932,547.04
  5. Step 5: Solve for x
    x = 74,932,547.04/11,340.36
  6. Step 6: Final answer
    x = 6,607.60

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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.