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Finding the Fourth Proportional to 10,548.51, 15,805.23 and 7,421.95

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Solution

The fourth proportional to 10,548.51, 15,805.23 and 7,421.95 is: 11,120.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,548.51 : 15,805.23 = 7,421.95 : x
  2. Step 2: Convert to fraction form
    10,548.51/15,805.23 = 7,421.95/x
  3. Step 3: Cross multiply
    10,548.51x = 15,805.23 × 7,421.95
  4. Step 4: Simplify right side
    10,548.51x = 117,305,618.72
  5. Step 5: Solve for x
    x = 117,305,618.72/10,548.51
  6. Step 6: Final answer
    x = 11,120.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.