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Finding the Fourth Proportional to 10,365.36, 14,292.91 and 7,002.34

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Solution

The fourth proportional to 10,365.36, 14,292.91 and 7,002.34 is: 9,655.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.36 : 14,292.91 = 7,002.34 : x
  2. Step 2: Convert to fraction form
    10,365.36/14,292.91 = 7,002.34/x
  3. Step 3: Cross multiply
    10,365.36x = 14,292.91 × 7,002.34
  4. Step 4: Simplify right side
    10,365.36x = 100,083,797.90
  5. Step 5: Solve for x
    x = 100,083,797.90/10,365.36
  6. Step 6: Final answer
    x = 9,655.60

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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.