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Finding the Fourth Proportional to 10,501, 15,751.56 and 2,709.28

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Solution

The fourth proportional to 10,501, 15,751.56 and 2,709.28 is: 4,063.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501 : 15,751.56 = 2,709.28 : x
  2. Step 2: Convert to fraction form
    10,501/15,751.56 = 2,709.28/x
  3. Step 3: Cross multiply
    10,501x = 15,751.56 × 2,709.28
  4. Step 4: Simplify right side
    10,501x = 42,675,386.48
  5. Step 5: Solve for x
    x = 42,675,386.48/10,501
  6. Step 6: Final answer
    x = 4,063.94

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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.