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Finding the Fourth Proportional to 8,130.30, 12,171.69 and 7,352.10

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Solution

The fourth proportional to 8,130.30, 12,171.69 and 7,352.10 is: 11,006.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.30 : 12,171.69 = 7,352.10 : x
  2. Step 2: Convert to fraction form
    8,130.30/12,171.69 = 7,352.10/x
  3. Step 3: Cross multiply
    8,130.30x = 12,171.69 × 7,352.10
  4. Step 4: Simplify right side
    8,130.30x = 89,487,482.05
  5. Step 5: Solve for x
    x = 89,487,482.05/8,130.30
  6. Step 6: Final answer
    x = 11,006.66

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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.