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Finding the Fourth Proportional to 10,442.70, 14,416.47 and 7,103.34

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Solution

The fourth proportional to 10,442.70, 14,416.47 and 7,103.34 is: 9,806.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.70 : 14,416.47 = 7,103.34 : x
  2. Step 2: Convert to fraction form
    10,442.70/14,416.47 = 7,103.34/x
  3. Step 3: Cross multiply
    10,442.70x = 14,416.47 × 7,103.34
  4. Step 4: Simplify right side
    10,442.70x = 102,405,088.01
  5. Step 5: Solve for x
    x = 102,405,088.01/10,442.70
  6. Step 6: Final answer
    x = 9,806.38

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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.