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Finding the Fourth Proportional to 10,384.90, 15,577.35 and 8,052.10

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Solution

The fourth proportional to 10,384.90, 15,577.35 and 8,052.10 is: 12,078.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.90 : 15,577.35 = 8,052.10 : x
  2. Step 2: Convert to fraction form
    10,384.90/15,577.35 = 8,052.10/x
  3. Step 3: Cross multiply
    10,384.90x = 15,577.35 × 8,052.10
  4. Step 4: Simplify right side
    10,384.90x = 125,430,379.94
  5. Step 5: Solve for x
    x = 125,430,379.94/10,384.90
  6. Step 6: Final answer
    x = 12,078.15

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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.