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Finding the Fourth Proportional to 10,199.90, 15,289.32 and 4,280.22

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Solution

The fourth proportional to 10,199.90, 15,289.32 and 4,280.22 is: 6,415.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.90 : 15,289.32 = 4,280.22 : x
  2. Step 2: Convert to fraction form
    10,199.90/15,289.32 = 4,280.22/x
  3. Step 3: Cross multiply
    10,199.90x = 15,289.32 × 4,280.22
  4. Step 4: Simplify right side
    10,199.90x = 65,441,681.92
  5. Step 5: Solve for x
    x = 65,441,681.92/10,199.90
  6. Step 6: Final answer
    x = 6,415.92

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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.