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Finding the Fourth Proportional to 10,234.40, 15,342.60 and 6,064.16

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Solution

The fourth proportional to 10,234.40, 15,342.60 and 6,064.16 is: 9,090.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.40 : 15,342.60 = 6,064.16 : x
  2. Step 2: Convert to fraction form
    10,234.40/15,342.60 = 6,064.16/x
  3. Step 3: Cross multiply
    10,234.40x = 15,342.60 × 6,064.16
  4. Step 4: Simplify right side
    10,234.40x = 93,039,981.22
  5. Step 5: Solve for x
    x = 93,039,981.22/10,234.40
  6. Step 6: Final answer
    x = 9,090.91

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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.