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Finding the Fourth Proportional to 7,785.95, 10,744.55 and 4,428.77

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Solution

The fourth proportional to 7,785.95, 10,744.55 and 4,428.77 is: 6,111.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.95 : 10,744.55 = 4,428.77 : x
  2. Step 2: Convert to fraction form
    7,785.95/10,744.55 = 4,428.77/x
  3. Step 3: Cross multiply
    7,785.95x = 10,744.55 × 4,428.77
  4. Step 4: Simplify right side
    7,785.95x = 47,585,064.84
  5. Step 5: Solve for x
    x = 47,585,064.84/7,785.95
  6. Step 6: Final answer
    x = 6,111.66

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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.