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Finding the Fourth Proportional to 7,683.67, 10,603.57 and 4,498.95

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Solution

The fourth proportional to 7,683.67, 10,603.57 and 4,498.95 is: 6,208.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.67 : 10,603.57 = 4,498.95 : x
  2. Step 2: Convert to fraction form
    7,683.67/10,603.57 = 4,498.95/x
  3. Step 3: Cross multiply
    7,683.67x = 10,603.57 × 4,498.95
  4. Step 4: Simplify right side
    7,683.67x = 47,704,931.25
  5. Step 5: Solve for x
    x = 47,704,931.25/7,683.67
  6. Step 6: Final answer
    x = 6,208.61

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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.