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Finding the Fourth Proportional to 10,048.41, 13,864.41 and 6,415.97

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Solution

The fourth proportional to 10,048.41, 13,864.41 and 6,415.97 is: 8,852.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.41 : 13,864.41 = 6,415.97 : x
  2. Step 2: Convert to fraction form
    10,048.41/13,864.41 = 6,415.97/x
  3. Step 3: Cross multiply
    10,048.41x = 13,864.41 × 6,415.97
  4. Step 4: Simplify right side
    10,048.41x = 88,953,569.31
  5. Step 5: Solve for x
    x = 88,953,569.31/10,048.41
  6. Step 6: Final answer
    x = 8,852.50

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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.