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Finding the Fourth Proportional to 8,095.40, 12,142.62 and 4,765.52

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Solution

The fourth proportional to 8,095.40, 12,142.62 and 4,765.52 is: 7,148.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,095.40 : 12,142.62 = 4,765.52 : x
  2. Step 2: Convert to fraction form
    8,095.40/12,142.62 = 4,765.52/x
  3. Step 3: Cross multiply
    8,095.40x = 12,142.62 × 4,765.52
  4. Step 4: Simplify right side
    8,095.40x = 57,865,898.46
  5. Step 5: Solve for x
    x = 57,865,898.46/8,095.40
  6. Step 6: Final answer
    x = 7,148.00

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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.