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Finding the Fourth Proportional to 10,034.56, 15,056.88 and 6,336.16

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Solution

The fourth proportional to 10,034.56, 15,056.88 and 6,336.16 is: 9,507.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.56 : 15,056.88 = 6,336.16 : x
  2. Step 2: Convert to fraction form
    10,034.56/15,056.88 = 6,336.16/x
  3. Step 3: Cross multiply
    10,034.56x = 15,056.88 × 6,336.16
  4. Step 4: Simplify right side
    10,034.56x = 95,402,800.78
  5. Step 5: Solve for x
    x = 95,402,800.78/10,034.56
  6. Step 6: Final answer
    x = 9,507.42

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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.