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Finding the Fourth Proportional to 10,703.64, 16,055.52 and 2,912.52

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Solution

The fourth proportional to 10,703.64, 16,055.52 and 2,912.52 is: 4,368.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.64 : 16,055.52 = 2,912.52 : x
  2. Step 2: Convert to fraction form
    10,703.64/16,055.52 = 2,912.52/x
  3. Step 3: Cross multiply
    10,703.64x = 16,055.52 × 2,912.52
  4. Step 4: Simplify right side
    10,703.64x = 46,762,023.11
  5. Step 5: Solve for x
    x = 46,762,023.11/10,703.64
  6. Step 6: Final answer
    x = 4,368.80

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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.