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Finding the Fourth Proportional to 10,695.60, 16,021.80 and 7,412.40

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Solution

The fourth proportional to 10,695.60, 16,021.80 and 7,412.40 is: 11,103.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,695.60 : 16,021.80 = 7,412.40 : x
  2. Step 2: Convert to fraction form
    10,695.60/16,021.80 = 7,412.40/x
  3. Step 3: Cross multiply
    10,695.60x = 16,021.80 × 7,412.40
  4. Step 4: Simplify right side
    10,695.60x = 118,759,990.32
  5. Step 5: Solve for x
    x = 118,759,990.32/10,695.60
  6. Step 6: Final answer
    x = 11,103.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.