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Finding the Fourth Proportional to 7,785.01, 10,743.62 and 4,428.13

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Solution

The fourth proportional to 7,785.01, 10,743.62 and 4,428.13 is: 6,110.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.01 : 10,743.62 = 4,428.13 : x
  2. Step 2: Convert to fraction form
    7,785.01/10,743.62 = 4,428.13/x
  3. Step 3: Cross multiply
    7,785.01x = 10,743.62 × 4,428.13
  4. Step 4: Simplify right side
    7,785.01x = 47,574,146.03
  5. Step 5: Solve for x
    x = 47,574,146.03/7,785.01
  6. Step 6: Final answer
    x = 6,110.99

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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.