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Finding the Fourth Proportional to 7,605.39, 11,400.32 and 5,140.46

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Solution

The fourth proportional to 7,605.39, 11,400.32 and 5,140.46 is: 7,705.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.39 : 11,400.32 = 5,140.46 : x
  2. Step 2: Convert to fraction form
    7,605.39/11,400.32 = 5,140.46/x
  3. Step 3: Cross multiply
    7,605.39x = 11,400.32 × 5,140.46
  4. Step 4: Simplify right side
    7,605.39x = 58,602,831.95
  5. Step 5: Solve for x
    x = 58,602,831.95/7,605.39
  6. Step 6: Final answer
    x = 7,705.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.