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Finding the Fourth Proportional to 10,003.61, 15,007.59 and 3,429.95

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Solution

The fourth proportional to 10,003.61, 15,007.59 and 3,429.95 is: 5,145.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.61 : 15,007.59 = 3,429.95 : x
  2. Step 2: Convert to fraction form
    10,003.61/15,007.59 = 3,429.95/x
  3. Step 3: Cross multiply
    10,003.61x = 15,007.59 × 3,429.95
  4. Step 4: Simplify right side
    10,003.61x = 51,475,266.17
  5. Step 5: Solve for x
    x = 51,475,266.17/10,003.61
  6. Step 6: Final answer
    x = 5,145.67

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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.