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Finding the Fourth Proportional to 10,094.40, 13,924.80 and 7,300.80

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Solution

The fourth proportional to 10,094.40, 13,924.80 and 7,300.80 is: 10,071.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.40 : 13,924.80 = 7,300.80 : x
  2. Step 2: Convert to fraction form
    10,094.40/13,924.80 = 7,300.80/x
  3. Step 3: Cross multiply
    10,094.40x = 13,924.80 × 7,300.80
  4. Step 4: Simplify right side
    10,094.40x = 101,662,179.84
  5. Step 5: Solve for x
    x = 101,662,179.84/10,094.40
  6. Step 6: Final answer
    x = 10,071.15

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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.