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Finding the Fourth Proportional to 10,425.05, 14,386.03 and 5,708.42

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Solution

The fourth proportional to 10,425.05, 14,386.03 and 5,708.42 is: 7,877.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.05 : 14,386.03 = 5,708.42 : x
  2. Step 2: Convert to fraction form
    10,425.05/14,386.03 = 5,708.42/x
  3. Step 3: Cross multiply
    10,425.05x = 14,386.03 × 5,708.42
  4. Step 4: Simplify right side
    10,425.05x = 82,121,415.17
  5. Step 5: Solve for x
    x = 82,121,415.17/10,425.05
  6. Step 6: Final answer
    x = 7,877.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.