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Finding the Fourth Proportional to 7,416.52, 10,235.70 and 4,230.60

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Solution

The fourth proportional to 7,416.52, 10,235.70 and 4,230.60 is: 5,838.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,416.52 : 10,235.70 = 4,230.60 : x
  2. Step 2: Convert to fraction form
    7,416.52/10,235.70 = 4,230.60/x
  3. Step 3: Cross multiply
    7,416.52x = 10,235.70 × 4,230.60
  4. Step 4: Simplify right side
    7,416.52x = 43,303,152.42
  5. Step 5: Solve for x
    x = 43,303,152.42/7,416.52
  6. Step 6: Final answer
    x = 5,838.74

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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.