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Finding the Fourth Proportional to 8,420.80, 12,606.90 and 5,140.30

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Solution

The fourth proportional to 8,420.80, 12,606.90 and 5,140.30 is: 7,695.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.80 : 12,606.90 = 5,140.30 : x
  2. Step 2: Convert to fraction form
    8,420.80/12,606.90 = 5,140.30/x
  3. Step 3: Cross multiply
    8,420.80x = 12,606.90 × 5,140.30
  4. Step 4: Simplify right side
    8,420.80x = 64,803,248.07
  5. Step 5: Solve for x
    x = 64,803,248.07/8,420.80
  6. Step 6: Final answer
    x = 7,695.62

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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.