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Finding the Fourth Proportional to 7,385.87, 10,196.26 and 5,703.50

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Solution

The fourth proportional to 7,385.87, 10,196.26 and 5,703.50 is: 7,873.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,385.87 : 10,196.26 = 5,703.50 : x
  2. Step 2: Convert to fraction form
    7,385.87/10,196.26 = 5,703.50/x
  3. Step 3: Cross multiply
    7,385.87x = 10,196.26 × 5,703.50
  4. Step 4: Simplify right side
    7,385.87x = 58,154,383.17
  5. Step 5: Solve for x
    x = 58,154,383.17/7,385.87
  6. Step 6: Final answer
    x = 7,873.74

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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.