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Finding the Fourth Proportional to 7,740.57, 11,603.71 and 2,809.02

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Solution

The fourth proportional to 7,740.57, 11,603.71 and 2,809.02 is: 4,210.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.57 : 11,603.71 = 2,809.02 : x
  2. Step 2: Convert to fraction form
    7,740.57/11,603.71 = 2,809.02/x
  3. Step 3: Cross multiply
    7,740.57x = 11,603.71 × 2,809.02
  4. Step 4: Simplify right side
    7,740.57x = 32,595,053.46
  5. Step 5: Solve for x
    x = 32,595,053.46/7,740.57
  6. Step 6: Final answer
    x = 4,210.94

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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.