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Finding the Fourth Proportional to 10,312.84, 14,231.73 and 5,597.14

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Solution

The fourth proportional to 10,312.84, 14,231.73 and 5,597.14 is: 7,724.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,312.84 : 14,231.73 = 5,597.14 : x
  2. Step 2: Convert to fraction form
    10,312.84/14,231.73 = 5,597.14/x
  3. Step 3: Cross multiply
    10,312.84x = 14,231.73 × 5,597.14
  4. Step 4: Simplify right side
    10,312.84x = 79,656,985.25
  5. Step 5: Solve for x
    x = 79,656,985.25/10,312.84
  6. Step 6: Final answer
    x = 7,724.06

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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.