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Finding the Fourth Proportional to 11,447.12, 15,798.42 and 6,971.52

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Solution

The fourth proportional to 11,447.12, 15,798.42 and 6,971.52 is: 9,621.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.12 : 15,798.42 = 6,971.52 : x
  2. Step 2: Convert to fraction form
    11,447.12/15,798.42 = 6,971.52/x
  3. Step 3: Cross multiply
    11,447.12x = 15,798.42 × 6,971.52
  4. Step 4: Simplify right side
    11,447.12x = 110,139,001.00
  5. Step 5: Solve for x
    x = 110,139,001.00/11,447.12
  6. Step 6: Final answer
    x = 9,621.55

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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.