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Finding the Fourth Proportional to 10,435.19, 14,400.57 and 5,719.48

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Solution

The fourth proportional to 10,435.19, 14,400.57 and 5,719.48 is: 7,892.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.19 : 14,400.57 = 5,719.48 : x
  2. Step 2: Convert to fraction form
    10,435.19/14,400.57 = 5,719.48/x
  3. Step 3: Cross multiply
    10,435.19x = 14,400.57 × 5,719.48
  4. Step 4: Simplify right side
    10,435.19x = 82,363,772.10
  5. Step 5: Solve for x
    x = 82,363,772.10/10,435.19
  6. Step 6: Final answer
    x = 7,892.89

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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.