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Finding the Fourth Proportional to 10,419.42, 15,614.54 and 7,483.98

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Solution

The fourth proportional to 10,419.42, 15,614.54 and 7,483.98 is: 11,215.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419.42 : 15,614.54 = 7,483.98 : x
  2. Step 2: Convert to fraction form
    10,419.42/15,614.54 = 7,483.98/x
  3. Step 3: Cross multiply
    10,419.42x = 15,614.54 × 7,483.98
  4. Step 4: Simplify right side
    10,419.42x = 116,858,905.07
  5. Step 5: Solve for x
    x = 116,858,905.07/10,419.42
  6. Step 6: Final answer
    x = 11,215.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.