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Finding the Fourth Proportional to 10,430.97, 14,395.76 and 5,955.39

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Solution

The fourth proportional to 10,430.97, 14,395.76 and 5,955.39 is: 8,219.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.97 : 14,395.76 = 5,955.39 : x
  2. Step 2: Convert to fraction form
    10,430.97/14,395.76 = 5,955.39/x
  3. Step 3: Cross multiply
    10,430.97x = 14,395.76 × 5,955.39
  4. Step 4: Simplify right side
    10,430.97x = 85,732,335.37
  5. Step 5: Solve for x
    x = 85,732,335.37/10,430.97
  6. Step 6: Final answer
    x = 8,219.02

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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.