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Finding the Fourth Proportional to 10,931.60, 16,388.40 and 4,696.40

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Solution

The fourth proportional to 10,931.60, 16,388.40 and 4,696.40 is: 7,040.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,931.60 : 16,388.40 = 4,696.40 : x
  2. Step 2: Convert to fraction form
    10,931.60/16,388.40 = 4,696.40/x
  3. Step 3: Cross multiply
    10,931.60x = 16,388.40 × 4,696.40
  4. Step 4: Simplify right side
    10,931.60x = 76,966,481.76
  5. Step 5: Solve for x
    x = 76,966,481.76/10,931.60
  6. Step 6: Final answer
    x = 7,040.73

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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.