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Finding the Fourth Proportional to 8,207.40, 12,315.45 and 4,747.08

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Solution

The fourth proportional to 8,207.40, 12,315.45 and 4,747.08 is: 7,123.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.40 : 12,315.45 = 4,747.08 : x
  2. Step 2: Convert to fraction form
    8,207.40/12,315.45 = 4,747.08/x
  3. Step 3: Cross multiply
    8,207.40x = 12,315.45 × 4,747.08
  4. Step 4: Simplify right side
    8,207.40x = 58,462,426.39
  5. Step 5: Solve for x
    x = 58,462,426.39/8,207.40
  6. Step 6: Final answer
    x = 7,123.14

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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.