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Finding the Fourth Proportional to 7,833.36, 11,746.80 and 2,900.14

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Solution

The fourth proportional to 7,833.36, 11,746.80 and 2,900.14 is: 4,349.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.36 : 11,746.80 = 2,900.14 : x
  2. Step 2: Convert to fraction form
    7,833.36/11,746.80 = 2,900.14/x
  3. Step 3: Cross multiply
    7,833.36x = 11,746.80 × 2,900.14
  4. Step 4: Simplify right side
    7,833.36x = 34,067,364.55
  5. Step 5: Solve for x
    x = 34,067,364.55/7,833.36
  6. Step 6: Final answer
    x = 4,349.01

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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.