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Finding the Fourth Proportional to 7,513.67, 10,368.52 and 4,156.40

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Solution

The fourth proportional to 7,513.67, 10,368.52 and 4,156.40 is: 5,735.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,513.67 : 10,368.52 = 4,156.40 : x
  2. Step 2: Convert to fraction form
    7,513.67/10,368.52 = 4,156.40/x
  3. Step 3: Cross multiply
    7,513.67x = 10,368.52 × 4,156.40
  4. Step 4: Simplify right side
    7,513.67x = 43,095,716.53
  5. Step 5: Solve for x
    x = 43,095,716.53/7,513.67
  6. Step 6: Final answer
    x = 5,735.64

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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.