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Finding the Fourth Proportional to 10,357.36, 14,296.28 and 7,047.28

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Solution

The fourth proportional to 10,357.36, 14,296.28 and 7,047.28 is: 9,727.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.36 : 14,296.28 = 7,047.28 : x
  2. Step 2: Convert to fraction form
    10,357.36/14,296.28 = 7,047.28/x
  3. Step 3: Cross multiply
    10,357.36x = 14,296.28 × 7,047.28
  4. Step 4: Simplify right side
    10,357.36x = 100,749,888.12
  5. Step 5: Solve for x
    x = 100,749,888.12/10,357.36
  6. Step 6: Final answer
    x = 9,727.37

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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.