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Finding the Fourth Proportional to 10,458.60, 14,445.73 and 7,817.80

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Solution

The fourth proportional to 10,458.60, 14,445.73 and 7,817.80 is: 10,798.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.60 : 14,445.73 = 7,817.80 : x
  2. Step 2: Convert to fraction form
    10,458.60/14,445.73 = 7,817.80/x
  3. Step 3: Cross multiply
    10,458.60x = 14,445.73 × 7,817.80
  4. Step 4: Simplify right side
    10,458.60x = 112,933,811.42
  5. Step 5: Solve for x
    x = 112,933,811.42/10,458.60
  6. Step 6: Final answer
    x = 10,798.18

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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.