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Finding the Fourth Proportional to 10,423.60, 15,618.93 and 8,357.02

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Solution

The fourth proportional to 10,423.60, 15,618.93 and 8,357.02 is: 12,522.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.60 : 15,618.93 = 8,357.02 : x
  2. Step 2: Convert to fraction form
    10,423.60/15,618.93 = 8,357.02/x
  3. Step 3: Cross multiply
    10,423.60x = 15,618.93 × 8,357.02
  4. Step 4: Simplify right side
    10,423.60x = 130,527,710.39
  5. Step 5: Solve for x
    x = 130,527,710.39/10,423.60
  6. Step 6: Final answer
    x = 12,522.33

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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.