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Finding the Fourth Proportional to 11,346.16, 15,665.32 and 10,147.42

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Solution

The fourth proportional to 11,346.16, 15,665.32 and 10,147.42 is: 14,010.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,346.16 : 15,665.32 = 10,147.42 : x
  2. Step 2: Convert to fraction form
    11,346.16/15,665.32 = 10,147.42/x
  3. Step 3: Cross multiply
    11,346.16x = 15,665.32 × 10,147.42
  4. Step 4: Simplify right side
    11,346.16x = 158,962,581.47
  5. Step 5: Solve for x
    x = 158,962,581.47/11,346.16
  6. Step 6: Final answer
    x = 14,010.25

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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.