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Finding the Fourth Proportional to 10,047.51, 15,071.33 and 3,027.58

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Solution

The fourth proportional to 10,047.51, 15,071.33 and 3,027.58 is: 4,541.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.51 : 15,071.33 = 3,027.58 : x
  2. Step 2: Convert to fraction form
    10,047.51/15,071.33 = 3,027.58/x
  3. Step 3: Cross multiply
    10,047.51x = 15,071.33 × 3,027.58
  4. Step 4: Simplify right side
    10,047.51x = 45,629,627.17
  5. Step 5: Solve for x
    x = 45,629,627.17/10,047.51
  6. Step 6: Final answer
    x = 4,541.39

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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.