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Finding the Fourth Proportional to 7,503.06, 10,354.95 and 4,146.66

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Solution

The fourth proportional to 7,503.06, 10,354.95 and 4,146.66 is: 5,722.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,503.06 : 10,354.95 = 4,146.66 : x
  2. Step 2: Convert to fraction form
    7,503.06/10,354.95 = 4,146.66/x
  3. Step 3: Cross multiply
    7,503.06x = 10,354.95 × 4,146.66
  4. Step 4: Simplify right side
    7,503.06x = 42,938,456.97
  5. Step 5: Solve for x
    x = 42,938,456.97/7,503.06
  6. Step 6: Final answer
    x = 5,722.79

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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.