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Finding the Fourth Proportional to 7,684.32, 10,603.98 and 4,699.38

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Solution

The fourth proportional to 7,684.32, 10,603.98 and 4,699.38 is: 6,484.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.32 : 10,603.98 = 4,699.38 : x
  2. Step 2: Convert to fraction form
    7,684.32/10,603.98 = 4,699.38/x
  3. Step 3: Cross multiply
    7,684.32x = 10,603.98 × 4,699.38
  4. Step 4: Simplify right side
    7,684.32x = 49,832,131.53
  5. Step 5: Solve for x
    x = 49,832,131.53/7,684.32
  6. Step 6: Final answer
    x = 6,484.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.