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Finding the Fourth Proportional to 10,074.68, 13,903.06 and 5,598.30

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Solution

The fourth proportional to 10,074.68, 13,903.06 and 5,598.30 is: 7,725.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074.68 : 13,903.06 = 5,598.30 : x
  2. Step 2: Convert to fraction form
    10,074.68/13,903.06 = 5,598.30/x
  3. Step 3: Cross multiply
    10,074.68x = 13,903.06 × 5,598.30
  4. Step 4: Simplify right side
    10,074.68x = 77,833,500.80
  5. Step 5: Solve for x
    x = 77,833,500.80/10,074.68
  6. Step 6: Final answer
    x = 7,725.65

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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.