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Finding the Fourth Proportional to 10,782.96, 14,875.58 and 7,794.06

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Solution

The fourth proportional to 10,782.96, 14,875.58 and 7,794.06 is: 10,752.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.96 : 14,875.58 = 7,794.06 : x
  2. Step 2: Convert to fraction form
    10,782.96/14,875.58 = 7,794.06/x
  3. Step 3: Cross multiply
    10,782.96x = 14,875.58 × 7,794.06
  4. Step 4: Simplify right side
    10,782.96x = 115,941,163.05
  5. Step 5: Solve for x
    x = 115,941,163.05/10,782.96
  6. Step 6: Final answer
    x = 10,752.26

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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.