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Finding the Fourth Proportional to 25,852.94, 38,778.59 and 7,384.94

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Solution

The fourth proportional to 25,852.94, 38,778.59 and 7,384.94 is: 11,077.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,852.94 : 38,778.59 = 7,384.94 : x
  2. Step 2: Convert to fraction form
    25,852.94/38,778.59 = 7,384.94/x
  3. Step 3: Cross multiply
    25,852.94x = 38,778.59 × 7,384.94
  4. Step 4: Simplify right side
    25,852.94x = 286,377,385.00
  5. Step 5: Solve for x
    x = 286,377,385.00/25,852.94
  6. Step 6: Final answer
    x = 11,077.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.