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Finding the Fourth Proportional to 10,358.40, 14,293.80 and 5,642.64

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Solution

The fourth proportional to 10,358.40, 14,293.80 and 5,642.64 is: 7,786.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.40 : 14,293.80 = 5,642.64 : x
  2. Step 2: Convert to fraction form
    10,358.40/14,293.80 = 5,642.64/x
  3. Step 3: Cross multiply
    10,358.40x = 14,293.80 × 5,642.64
  4. Step 4: Simplify right side
    10,358.40x = 80,654,767.63
  5. Step 5: Solve for x
    x = 80,654,767.63/10,358.40
  6. Step 6: Final answer
    x = 7,786.41

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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.