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Finding the Fourth Proportional to 10,405.76, 14,359.94 and 5,690.08

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Solution

The fourth proportional to 10,405.76, 14,359.94 and 5,690.08 is: 7,852.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.76 : 14,359.94 = 5,690.08 : x
  2. Step 2: Convert to fraction form
    10,405.76/14,359.94 = 5,690.08/x
  3. Step 3: Cross multiply
    10,405.76x = 14,359.94 × 5,690.08
  4. Step 4: Simplify right side
    10,405.76x = 81,709,207.40
  5. Step 5: Solve for x
    x = 81,709,207.40/10,405.76
  6. Step 6: Final answer
    x = 7,852.31

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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.