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Finding the Fourth Proportional to 10,548.39, 15,806.94 and 4,300.77

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Solution

The fourth proportional to 10,548.39, 15,806.94 and 4,300.77 is: 6,444.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,548.39 : 15,806.94 = 4,300.77 : x
  2. Step 2: Convert to fraction form
    10,548.39/15,806.94 = 4,300.77/x
  3. Step 3: Cross multiply
    10,548.39x = 15,806.94 × 4,300.77
  4. Step 4: Simplify right side
    10,548.39x = 67,982,013.34
  5. Step 5: Solve for x
    x = 67,982,013.34/10,548.39
  6. Step 6: Final answer
    x = 6,444.78

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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.