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Finding the Fourth Proportional to 8,421.11, 11,614.28 and 7,410.63

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Solution

The fourth proportional to 8,421.11, 11,614.28 and 7,410.63 is: 10,220.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,421.11 : 11,614.28 = 7,410.63 : x
  2. Step 2: Convert to fraction form
    8,421.11/11,614.28 = 7,410.63/x
  3. Step 3: Cross multiply
    8,421.11x = 11,614.28 × 7,410.63
  4. Step 4: Simplify right side
    8,421.11x = 86,069,094.74
  5. Step 5: Solve for x
    x = 86,069,094.74/8,421.11
  6. Step 6: Final answer
    x = 10,220.64

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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.