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Finding the Fourth Proportional to 10,388.60, 15,582.78 and 8,298.80

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Solution

The fourth proportional to 10,388.60, 15,582.78 and 8,298.80 is: 12,448.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388.60 : 15,582.78 = 8,298.80 : x
  2. Step 2: Convert to fraction form
    10,388.60/15,582.78 = 8,298.80/x
  3. Step 3: Cross multiply
    10,388.60x = 15,582.78 × 8,298.80
  4. Step 4: Simplify right side
    10,388.60x = 129,318,296.75
  5. Step 5: Solve for x
    x = 129,318,296.75/10,388.60
  6. Step 6: Final answer
    x = 12,448.10

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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.