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Finding the Fourth Proportional to 10,030.14, 15,047.62 and 3,104.64

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Solution

The fourth proportional to 10,030.14, 15,047.62 and 3,104.64 is: 4,657.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,030.14 : 15,047.62 = 3,104.64 : x
  2. Step 2: Convert to fraction form
    10,030.14/15,047.62 = 3,104.64/x
  3. Step 3: Cross multiply
    10,030.14x = 15,047.62 × 3,104.64
  4. Step 4: Simplify right side
    10,030.14x = 46,717,442.96
  5. Step 5: Solve for x
    x = 46,717,442.96/10,030.14
  6. Step 6: Final answer
    x = 4,657.71

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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.