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Finding the Fourth Proportional to 7,513.80, 10,368.10 and 4,156.14

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Solution

The fourth proportional to 7,513.80, 10,368.10 and 4,156.14 is: 5,734.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,513.80 : 10,368.10 = 4,156.14 : x
  2. Step 2: Convert to fraction form
    7,513.80/10,368.10 = 4,156.14/x
  3. Step 3: Cross multiply
    7,513.80x = 10,368.10 × 4,156.14
  4. Step 4: Simplify right side
    7,513.80x = 43,091,319.21
  5. Step 5: Solve for x
    x = 43,091,319.21/7,513.80
  6. Step 6: Final answer
    x = 5,734.96

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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.