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Finding the Fourth Proportional to 7,513.85, 10,368.51 and 4,156.58

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Solution

The fourth proportional to 7,513.85, 10,368.51 and 4,156.58 is: 5,735.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,513.85 : 10,368.51 = 4,156.58 : x
  2. Step 2: Convert to fraction form
    7,513.85/10,368.51 = 4,156.58/x
  3. Step 3: Cross multiply
    7,513.85x = 10,368.51 × 4,156.58
  4. Step 4: Simplify right side
    7,513.85x = 43,097,541.30
  5. Step 5: Solve for x
    x = 43,097,541.30/7,513.85
  6. Step 6: Final answer
    x = 5,735.75

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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.