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Finding the Fourth Proportional to 10,314.36, 15,475.73 and 6,156.63

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Solution

The fourth proportional to 10,314.36, 15,475.73 and 6,156.63 is: 9,237.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.36 : 15,475.73 = 6,156.63 : x
  2. Step 2: Convert to fraction form
    10,314.36/15,475.73 = 6,156.63/x
  3. Step 3: Cross multiply
    10,314.36x = 15,475.73 × 6,156.63
  4. Step 4: Simplify right side
    10,314.36x = 95,278,312.81
  5. Step 5: Solve for x
    x = 95,278,312.81/10,314.36
  6. Step 6: Final answer
    x = 9,237.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.