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Finding the Fourth Proportional to 6,537.18, 9,792.51 and 5,223.15

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Solution

The fourth proportional to 6,537.18, 9,792.51 and 5,223.15 is: 7,824.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.18 : 9,792.51 = 5,223.15 : x
  2. Step 2: Convert to fraction form
    6,537.18/9,792.51 = 5,223.15/x
  3. Step 3: Cross multiply
    6,537.18x = 9,792.51 × 5,223.15
  4. Step 4: Simplify right side
    6,537.18x = 51,147,748.61
  5. Step 5: Solve for x
    x = 51,147,748.61/6,537.18
  6. Step 6: Final answer
    x = 7,824.13

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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.