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Finding the Fourth Proportional to 12,319.04, 17,003.76 and 7,840.64

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Solution

The fourth proportional to 12,319.04, 17,003.76 and 7,840.64 is: 10,822.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,319.04 : 17,003.76 = 7,840.64 : x
  2. Step 2: Convert to fraction form
    12,319.04/17,003.76 = 7,840.64/x
  3. Step 3: Cross multiply
    12,319.04x = 17,003.76 × 7,840.64
  4. Step 4: Simplify right side
    12,319.04x = 133,320,360.81
  5. Step 5: Solve for x
    x = 133,320,360.81/12,319.04
  6. Step 6: Final answer
    x = 10,822.30

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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.