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Finding the Fourth Proportional to 11,459.46, 15,814.11 and 7,478.22

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Solution

The fourth proportional to 11,459.46, 15,814.11 and 7,478.22 is: 10,319.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,459.46 : 15,814.11 = 7,478.22 : x
  2. Step 2: Convert to fraction form
    11,459.46/15,814.11 = 7,478.22/x
  3. Step 3: Cross multiply
    11,459.46x = 15,814.11 × 7,478.22
  4. Step 4: Simplify right side
    11,459.46x = 118,261,393.68
  5. Step 5: Solve for x
    x = 118,261,393.68/11,459.46
  6. Step 6: Final answer
    x = 10,319.98

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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.