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Finding the Fourth Proportional to 7,758.51, 11,637.23 and 4,461.27

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Solution

The fourth proportional to 7,758.51, 11,637.23 and 4,461.27 is: 6,691.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.51 : 11,637.23 = 4,461.27 : x
  2. Step 2: Convert to fraction form
    7,758.51/11,637.23 = 4,461.27/x
  3. Step 3: Cross multiply
    7,758.51x = 11,637.23 × 4,461.27
  4. Step 4: Simplify right side
    7,758.51x = 51,916,802.78
  5. Step 5: Solve for x
    x = 51,916,802.78/7,758.51
  6. Step 6: Final answer
    x = 6,691.59

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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.