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Finding the Fourth Proportional to 10,312.60, 14,237.22 and 7,130.56

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Solution

The fourth proportional to 10,312.60, 14,237.22 and 7,130.56 is: 9,844.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,312.60 : 14,237.22 = 7,130.56 : x
  2. Step 2: Convert to fraction form
    10,312.60/14,237.22 = 7,130.56/x
  3. Step 3: Cross multiply
    10,312.60x = 14,237.22 × 7,130.56
  4. Step 4: Simplify right side
    10,312.60x = 101,519,351.44
  5. Step 5: Solve for x
    x = 101,519,351.44/10,312.60
  6. Step 6: Final answer
    x = 9,844.21

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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.