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Finding the Fourth Proportional to 7,683.16, 10,603.82 and 4,497.40

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Solution

The fourth proportional to 7,683.16, 10,603.82 and 4,497.40 is: 6,207.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.16 : 10,603.82 = 4,497.40 : x
  2. Step 2: Convert to fraction form
    7,683.16/10,603.82 = 4,497.40/x
  3. Step 3: Cross multiply
    7,683.16x = 10,603.82 × 4,497.40
  4. Step 4: Simplify right side
    7,683.16x = 47,689,620.07
  5. Step 5: Solve for x
    x = 47,689,620.07/7,683.16
  6. Step 6: Final answer
    x = 6,207.03

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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.