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Finding the Fourth Proportional to 12,963.12, 17,887.32 and 7,298.16

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Solution

The fourth proportional to 12,963.12, 17,887.32 and 7,298.16 is: 10,070.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,963.12 : 17,887.32 = 7,298.16 : x
  2. Step 2: Convert to fraction form
    12,963.12/17,887.32 = 7,298.16/x
  3. Step 3: Cross multiply
    12,963.12x = 17,887.32 × 7,298.16
  4. Step 4: Simplify right side
    12,963.12x = 130,544,523.33
  5. Step 5: Solve for x
    x = 130,544,523.33/12,963.12
  6. Step 6: Final answer
    x = 10,070.46

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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.