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Finding the Fourth Proportional to 7,740.71, 11,607.16 and 3,792.26

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Solution

The fourth proportional to 7,740.71, 11,607.16 and 3,792.26 is: 5,686.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.71 : 11,607.16 = 3,792.26 : x
  2. Step 2: Convert to fraction form
    7,740.71/11,607.16 = 3,792.26/x
  3. Step 3: Cross multiply
    7,740.71x = 11,607.16 × 3,792.26
  4. Step 4: Simplify right side
    7,740.71x = 44,017,368.58
  5. Step 5: Solve for x
    x = 44,017,368.58/7,740.71
  6. Step 6: Final answer
    x = 5,686.48

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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.