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Finding the Fourth Proportional to 7,442.04, 10,263.42 and 5,669.40

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Solution

The fourth proportional to 7,442.04, 10,263.42 and 5,669.40 is: 7,818.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.04 : 10,263.42 = 5,669.40 : x
  2. Step 2: Convert to fraction form
    7,442.04/10,263.42 = 5,669.40/x
  3. Step 3: Cross multiply
    7,442.04x = 10,263.42 × 5,669.40
  4. Step 4: Simplify right side
    7,442.04x = 58,187,433.35
  5. Step 5: Solve for x
    x = 58,187,433.35/7,442.04
  6. Step 6: Final answer
    x = 7,818.75

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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.