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Finding the Fourth Proportional to 7,265.84, 10,032.48 and 5,584.56

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Solution

The fourth proportional to 7,265.84, 10,032.48 and 5,584.56 is: 7,711.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,265.84 : 10,032.48 = 5,584.56 : x
  2. Step 2: Convert to fraction form
    7,265.84/10,032.48 = 5,584.56/x
  3. Step 3: Cross multiply
    7,265.84x = 10,032.48 × 5,584.56
  4. Step 4: Simplify right side
    7,265.84x = 56,026,986.51
  5. Step 5: Solve for x
    x = 56,026,986.51/7,265.84
  6. Step 6: Final answer
    x = 7,711.01

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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.