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Finding the Fourth Proportional to 7,752.84, 11,626.51 and 3,592.06

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Solution

The fourth proportional to 7,752.84, 11,626.51 and 3,592.06 is: 5,386.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.84 : 11,626.51 = 3,592.06 : x
  2. Step 2: Convert to fraction form
    7,752.84/11,626.51 = 3,592.06/x
  3. Step 3: Cross multiply
    7,752.84x = 11,626.51 × 3,592.06
  4. Step 4: Simplify right side
    7,752.84x = 41,763,121.51
  5. Step 5: Solve for x
    x = 41,763,121.51/7,752.84
  6. Step 6: Final answer
    x = 5,386.82

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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.