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Finding the Fourth Proportional to 10,511.60, 15,745.80 and 5,320.40

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Solution

The fourth proportional to 10,511.60, 15,745.80 and 5,320.40 is: 7,969.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.60 : 15,745.80 = 5,320.40 : x
  2. Step 2: Convert to fraction form
    10,511.60/15,745.80 = 5,320.40/x
  3. Step 3: Cross multiply
    10,511.60x = 15,745.80 × 5,320.40
  4. Step 4: Simplify right side
    10,511.60x = 83,773,954.32
  5. Step 5: Solve for x
    x = 83,773,954.32/10,511.60
  6. Step 6: Final answer
    x = 7,969.67

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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.