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Finding the Fourth Proportional to 10,509.96, 14,504.72 and 7,852.72

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Solution

The fourth proportional to 10,509.96, 14,504.72 and 7,852.72 is: 10,837.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.96 : 14,504.72 = 7,852.72 : x
  2. Step 2: Convert to fraction form
    10,509.96/14,504.72 = 7,852.72/x
  3. Step 3: Cross multiply
    10,509.96x = 14,504.72 × 7,852.72
  4. Step 4: Simplify right side
    10,509.96x = 113,901,504.84
  5. Step 5: Solve for x
    x = 113,901,504.84/10,509.96
  6. Step 6: Final answer
    x = 10,837.48

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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.