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Finding the Fourth Proportional to 7,037.76, 10,554.96 and 3,140

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Solution

The fourth proportional to 7,037.76, 10,554.96 and 3,140 is: 4,709.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037.76 : 10,554.96 = 3,140 : x
  2. Step 2: Convert to fraction form
    7,037.76/10,554.96 = 3,140/x
  3. Step 3: Cross multiply
    7,037.76x = 10,554.96 × 3,140
  4. Step 4: Simplify right side
    7,037.76x = 33,142,574.40
  5. Step 5: Solve for x
    x = 33,142,574.40/7,037.76
  6. Step 6: Final answer
    x = 4,709.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.