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Finding the Fourth Proportional to 10,931.84, 16,395.20 and 3,534.40

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Solution

The fourth proportional to 10,931.84, 16,395.20 and 3,534.40 is: 5,300.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,931.84 : 16,395.20 = 3,534.40 : x
  2. Step 2: Convert to fraction form
    10,931.84/16,395.20 = 3,534.40/x
  3. Step 3: Cross multiply
    10,931.84x = 16,395.20 × 3,534.40
  4. Step 4: Simplify right side
    10,931.84x = 57,947,194.88
  5. Step 5: Solve for x
    x = 57,947,194.88/10,931.84
  6. Step 6: Final answer
    x = 5,300.77

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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.