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Finding the Fourth Proportional to 7,735.47, 11,603.27 and 2,805

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Solution

The fourth proportional to 7,735.47, 11,603.27 and 2,805 is: 4,207.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.47 : 11,603.27 = 2,805 : x
  2. Step 2: Convert to fraction form
    7,735.47/11,603.27 = 2,805/x
  3. Step 3: Cross multiply
    7,735.47x = 11,603.27 × 2,805
  4. Step 4: Simplify right side
    7,735.47x = 32,547,172.35
  5. Step 5: Solve for x
    x = 32,547,172.35/7,735.47
  6. Step 6: Final answer
    x = 4,207.52

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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.