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Finding the Fourth Proportional to 7,725.40, 10,660.42 and 4,368.50

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Solution

The fourth proportional to 7,725.40, 10,660.42 and 4,368.50 is: 6,028.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.40 : 10,660.42 = 4,368.50 : x
  2. Step 2: Convert to fraction form
    7,725.40/10,660.42 = 4,368.50/x
  3. Step 3: Cross multiply
    7,725.40x = 10,660.42 × 4,368.50
  4. Step 4: Simplify right side
    7,725.40x = 46,570,044.77
  5. Step 5: Solve for x
    x = 46,570,044.77/7,725.40
  6. Step 6: Final answer
    x = 6,028.17

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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.