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Finding the Fourth Proportional to 10,405.25, 15,607.42 and 3,009.54

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Solution

The fourth proportional to 10,405.25, 15,607.42 and 3,009.54 is: 4,514.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.25 : 15,607.42 = 3,009.54 : x
  2. Step 2: Convert to fraction form
    10,405.25/15,607.42 = 3,009.54/x
  3. Step 3: Cross multiply
    10,405.25x = 15,607.42 × 3,009.54
  4. Step 4: Simplify right side
    10,405.25x = 46,971,139.74
  5. Step 5: Solve for x
    x = 46,971,139.74/10,405.25
  6. Step 6: Final answer
    x = 4,514.18

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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.