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Finding the Fourth Proportional to 10,959.66, 16,440.40 and 4,719.83

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Solution

The fourth proportional to 10,959.66, 16,440.40 and 4,719.83 is: 7,080.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959.66 : 16,440.40 = 4,719.83 : x
  2. Step 2: Convert to fraction form
    10,959.66/16,440.40 = 4,719.83/x
  3. Step 3: Cross multiply
    10,959.66x = 16,440.40 × 4,719.83
  4. Step 4: Simplify right side
    10,959.66x = 77,595,893.13
  5. Step 5: Solve for x
    x = 77,595,893.13/10,959.66
  6. Step 6: Final answer
    x = 7,080.14

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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.