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Finding the Fourth Proportional to 10,289.70, 14,198.69 and 7,602.32

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Solution

The fourth proportional to 10,289.70, 14,198.69 and 7,602.32 is: 10,490.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.70 : 14,198.69 = 7,602.32 : x
  2. Step 2: Convert to fraction form
    10,289.70/14,198.69 = 7,602.32/x
  3. Step 3: Cross multiply
    10,289.70x = 14,198.69 × 7,602.32
  4. Step 4: Simplify right side
    10,289.70x = 107,943,039.46
  5. Step 5: Solve for x
    x = 107,943,039.46/10,289.70
  6. Step 6: Final answer
    x = 10,490.40

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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.