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Finding the Fourth Proportional to 7,314.64, 10,094.25 and 4,482.02

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Solution

The fourth proportional to 7,314.64, 10,094.25 and 4,482.02 is: 6,185.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.64 : 10,094.25 = 4,482.02 : x
  2. Step 2: Convert to fraction form
    7,314.64/10,094.25 = 4,482.02/x
  3. Step 3: Cross multiply
    7,314.64x = 10,094.25 × 4,482.02
  4. Step 4: Simplify right side
    7,314.64x = 45,242,630.39
  5. Step 5: Solve for x
    x = 45,242,630.39/7,314.64
  6. Step 6: Final answer
    x = 6,185.22

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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.