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Finding the Fourth Proportional to 10,356.66, 15,501.78 and 5,419.44

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Solution

The fourth proportional to 10,356.66, 15,501.78 and 5,419.44 is: 8,111.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.66 : 15,501.78 = 5,419.44 : x
  2. Step 2: Convert to fraction form
    10,356.66/15,501.78 = 5,419.44/x
  3. Step 3: Cross multiply
    10,356.66x = 15,501.78 × 5,419.44
  4. Step 4: Simplify right side
    10,356.66x = 84,010,966.60
  5. Step 5: Solve for x
    x = 84,010,966.60/10,356.66
  6. Step 6: Final answer
    x = 8,111.78

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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.