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Finding the Fourth Proportional to 10,460.40, 14,434.92 and 6,678.24

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Solution

The fourth proportional to 10,460.40, 14,434.92 and 6,678.24 is: 9,215.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460.40 : 14,434.92 = 6,678.24 : x
  2. Step 2: Convert to fraction form
    10,460.40/14,434.92 = 6,678.24/x
  3. Step 3: Cross multiply
    10,460.40x = 14,434.92 × 6,678.24
  4. Step 4: Simplify right side
    10,460.40x = 96,399,860.14
  5. Step 5: Solve for x
    x = 96,399,860.14/10,460.40
  6. Step 6: Final answer
    x = 9,215.70

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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.