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Finding the Fourth Proportional to 10,470.24, 14,443.20 and 6,883.20

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Solution

The fourth proportional to 10,470.24, 14,443.20 and 6,883.20 is: 9,495.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.24 : 14,443.20 = 6,883.20 : x
  2. Step 2: Convert to fraction form
    10,470.24/14,443.20 = 6,883.20/x
  3. Step 3: Cross multiply
    10,470.24x = 14,443.20 × 6,883.20
  4. Step 4: Simplify right side
    10,470.24x = 99,415,434.24
  5. Step 5: Solve for x
    x = 99,415,434.24/10,470.24
  6. Step 6: Final answer
    x = 9,495.05

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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.