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Finding the Fourth Proportional to 11,575.32, 15,973.92 and 6,270.16

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Solution

The fourth proportional to 11,575.32, 15,973.92 and 6,270.16 is: 8,652.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,575.32 : 15,973.92 = 6,270.16 : x
  2. Step 2: Convert to fraction form
    11,575.32/15,973.92 = 6,270.16/x
  3. Step 3: Cross multiply
    11,575.32x = 15,973.92 × 6,270.16
  4. Step 4: Simplify right side
    11,575.32x = 100,159,034.23
  5. Step 5: Solve for x
    x = 100,159,034.23/11,575.32
  6. Step 6: Final answer
    x = 8,652.81

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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.