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Finding the Fourth Proportional to 7,603, 10,492.78 and 4,291.64

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Solution

The fourth proportional to 7,603, 10,492.78 and 4,291.64 is: 5,922.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,603 : 10,492.78 = 4,291.64 : x
  2. Step 2: Convert to fraction form
    7,603/10,492.78 = 4,291.64/x
  3. Step 3: Cross multiply
    7,603x = 10,492.78 × 4,291.64
  4. Step 4: Simplify right side
    7,603x = 45,031,234.36
  5. Step 5: Solve for x
    x = 45,031,234.36/7,603
  6. Step 6: Final answer
    x = 5,922.82

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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.