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Finding the Fourth Proportional to 10,315.74, 14,235.31 and 5,599.90

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Solution

The fourth proportional to 10,315.74, 14,235.31 and 5,599.90 is: 7,727.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.74 : 14,235.31 = 5,599.90 : x
  2. Step 2: Convert to fraction form
    10,315.74/14,235.31 = 5,599.90/x
  3. Step 3: Cross multiply
    10,315.74x = 14,235.31 × 5,599.90
  4. Step 4: Simplify right side
    10,315.74x = 79,716,312.47
  5. Step 5: Solve for x
    x = 79,716,312.47/10,315.74
  6. Step 6: Final answer
    x = 7,727.64

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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.