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Finding the Fourth Proportional to 7,860.84, 11,728.29 and 6,272.16

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Solution

The fourth proportional to 7,860.84, 11,728.29 and 6,272.16 is: 9,358.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.84 : 11,728.29 = 6,272.16 : x
  2. Step 2: Convert to fraction form
    7,860.84/11,728.29 = 6,272.16/x
  3. Step 3: Cross multiply
    7,860.84x = 11,728.29 × 6,272.16
  4. Step 4: Simplify right side
    7,860.84x = 73,561,711.41
  5. Step 5: Solve for x
    x = 73,561,711.41/7,860.84
  6. Step 6: Final answer
    x = 9,358.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.