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Finding the Fourth Proportional to 7,312.16, 10,090.64 and 4,288.03

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Solution

The fourth proportional to 7,312.16, 10,090.64 and 4,288.03 is: 5,917.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312.16 : 10,090.64 = 4,288.03 : x
  2. Step 2: Convert to fraction form
    7,312.16/10,090.64 = 4,288.03/x
  3. Step 3: Cross multiply
    7,312.16x = 10,090.64 × 4,288.03
  4. Step 4: Simplify right side
    7,312.16x = 43,268,952.53
  5. Step 5: Solve for x
    x = 43,268,952.53/7,312.16
  6. Step 6: Final answer
    x = 5,917.39

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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.