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Finding the Fourth Proportional to 7,353.64, 10,148.25 and 4,210.84

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Solution

The fourth proportional to 7,353.64, 10,148.25 and 4,210.84 is: 5,811.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,353.64 : 10,148.25 = 4,210.84 : x
  2. Step 2: Convert to fraction form
    7,353.64/10,148.25 = 4,210.84/x
  3. Step 3: Cross multiply
    7,353.64x = 10,148.25 × 4,210.84
  4. Step 4: Simplify right side
    7,353.64x = 42,732,657.03
  5. Step 5: Solve for x
    x = 42,732,657.03/7,353.64
  6. Step 6: Final answer
    x = 5,811.09

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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.