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Finding the Fourth Proportional to 11,175.34, 15,421.98 and 6,459.64

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Solution

The fourth proportional to 11,175.34, 15,421.98 and 6,459.64 is: 8,914.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,175.34 : 15,421.98 = 6,459.64 : x
  2. Step 2: Convert to fraction form
    11,175.34/15,421.98 = 6,459.64/x
  3. Step 3: Cross multiply
    11,175.34x = 15,421.98 × 6,459.64
  4. Step 4: Simplify right side
    11,175.34x = 99,620,438.89
  5. Step 5: Solve for x
    x = 99,620,438.89/11,175.34
  6. Step 6: Final answer
    x = 8,914.31

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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.