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Finding the Fourth Proportional to 7,833.83, 10,810.50 and 4,297.01

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Solution

The fourth proportional to 7,833.83, 10,810.50 and 4,297.01 is: 5,929.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.83 : 10,810.50 = 4,297.01 : x
  2. Step 2: Convert to fraction form
    7,833.83/10,810.50 = 4,297.01/x
  3. Step 3: Cross multiply
    7,833.83x = 10,810.50 × 4,297.01
  4. Step 4: Simplify right side
    7,833.83x = 46,452,826.61
  5. Step 5: Solve for x
    x = 46,452,826.61/7,833.83
  6. Step 6: Final answer
    x = 5,929.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.