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Finding the Fourth Proportional to 10,139.85, 13,987.89 and 6,782.81

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Solution

The fourth proportional to 10,139.85, 13,987.89 and 6,782.81 is: 9,356.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,139.85 : 13,987.89 = 6,782.81 : x
  2. Step 2: Convert to fraction form
    10,139.85/13,987.89 = 6,782.81/x
  3. Step 3: Cross multiply
    10,139.85x = 13,987.89 × 6,782.81
  4. Step 4: Simplify right side
    10,139.85x = 94,877,130.23
  5. Step 5: Solve for x
    x = 94,877,130.23/10,139.85
  6. Step 6: Final answer
    x = 9,356.86

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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.