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Finding the Fourth Proportional to 10,048.19, 13,866.86 and 7,525.85

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Solution

The fourth proportional to 10,048.19, 13,866.86 and 7,525.85 is: 10,385.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.19 : 13,866.86 = 7,525.85 : x
  2. Step 2: Convert to fraction form
    10,048.19/13,866.86 = 7,525.85/x
  3. Step 3: Cross multiply
    10,048.19x = 13,866.86 × 7,525.85
  4. Step 4: Simplify right side
    10,048.19x = 104,359,857.81
  5. Step 5: Solve for x
    x = 104,359,857.81/10,048.19
  6. Step 6: Final answer
    x = 10,385.94

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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.