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Finding the Fourth Proportional to 10,946.60, 16,410.90 and 4,711.40

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Solution

The fourth proportional to 10,946.60, 16,410.90 and 4,711.40 is: 7,063.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,946.60 : 16,410.90 = 4,711.40 : x
  2. Step 2: Convert to fraction form
    10,946.60/16,410.90 = 4,711.40/x
  3. Step 3: Cross multiply
    10,946.60x = 16,410.90 × 4,711.40
  4. Step 4: Simplify right side
    10,946.60x = 77,318,314.26
  5. Step 5: Solve for x
    x = 77,318,314.26/10,946.60
  6. Step 6: Final answer
    x = 7,063.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.