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Finding the Fourth Proportional to 10,404.60, 14,359.36 and 5,689.60

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Solution

The fourth proportional to 10,404.60, 14,359.36 and 5,689.60 is: 7,852.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404.60 : 14,359.36 = 5,689.60 : x
  2. Step 2: Convert to fraction form
    10,404.60/14,359.36 = 5,689.60/x
  3. Step 3: Cross multiply
    10,404.60x = 14,359.36 × 5,689.60
  4. Step 4: Simplify right side
    10,404.60x = 81,699,014.66
  5. Step 5: Solve for x
    x = 81,699,014.66/10,404.60
  6. Step 6: Final answer
    x = 7,852.20

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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.