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Finding the Fourth Proportional to 11,782.04, 17,681.74 and 6,521.51

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Solution

The fourth proportional to 11,782.04, 17,681.74 and 6,521.51 is: 9,787.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.04 : 17,681.74 = 6,521.51 : x
  2. Step 2: Convert to fraction form
    11,782.04/17,681.74 = 6,521.51/x
  3. Step 3: Cross multiply
    11,782.04x = 17,681.74 × 6,521.51
  4. Step 4: Simplify right side
    11,782.04x = 115,311,708.81
  5. Step 5: Solve for x
    x = 115,311,708.81/11,782.04
  6. Step 6: Final answer
    x = 9,787.07

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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.