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Finding the Fourth Proportional to 7,931.40, 11,869.02 and 5,846.46

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Solution

The fourth proportional to 7,931.40, 11,869.02 and 5,846.46 is: 8,748.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,931.40 : 11,869.02 = 5,846.46 : x
  2. Step 2: Convert to fraction form
    7,931.40/11,869.02 = 5,846.46/x
  3. Step 3: Cross multiply
    7,931.40x = 11,869.02 × 5,846.46
  4. Step 4: Simplify right side
    7,931.40x = 69,391,750.67
  5. Step 5: Solve for x
    x = 69,391,750.67/7,931.40
  6. Step 6: Final answer
    x = 8,748.99

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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.