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Finding the Fourth Proportional to 10,313.70, 14,232.99 and 5,598.02

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Solution

The fourth proportional to 10,313.70, 14,232.99 and 5,598.02 is: 7,725.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.70 : 14,232.99 = 5,598.02 : x
  2. Step 2: Convert to fraction form
    10,313.70/14,232.99 = 5,598.02/x
  3. Step 3: Cross multiply
    10,313.70x = 14,232.99 × 5,598.02
  4. Step 4: Simplify right side
    10,313.70x = 79,676,491.51
  5. Step 5: Solve for x
    x = 79,676,491.51/10,313.70
  6. Step 6: Final answer
    x = 7,725.31

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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.