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Finding the Fourth Proportional to 10,483.40, 15,709.26 and 7,014.44

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Solution

The fourth proportional to 10,483.40, 15,709.26 and 7,014.44 is: 10,511.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.40 : 15,709.26 = 7,014.44 : x
  2. Step 2: Convert to fraction form
    10,483.40/15,709.26 = 7,014.44/x
  3. Step 3: Cross multiply
    10,483.40x = 15,709.26 × 7,014.44
  4. Step 4: Simplify right side
    10,483.40x = 110,191,661.71
  5. Step 5: Solve for x
    x = 110,191,661.71/10,483.40
  6. Step 6: Final answer
    x = 10,511.06

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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.