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Finding the Fourth Proportional to 7,781.51, 10,735.43 and 4,792.16

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Solution

The fourth proportional to 7,781.51, 10,735.43 and 4,792.16 is: 6,611.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.51 : 10,735.43 = 4,792.16 : x
  2. Step 2: Convert to fraction form
    7,781.51/10,735.43 = 4,792.16/x
  3. Step 3: Cross multiply
    7,781.51x = 10,735.43 × 4,792.16
  4. Step 4: Simplify right side
    7,781.51x = 51,445,901.11
  5. Step 5: Solve for x
    x = 51,445,901.11/7,781.51
  6. Step 6: Final answer
    x = 6,611.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.