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Finding the Fourth Proportional to 10,122.46, 13,970.68 and 7,477.54

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Solution

The fourth proportional to 10,122.46, 13,970.68 and 7,477.54 is: 10,320.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.46 : 13,970.68 = 7,477.54 : x
  2. Step 2: Convert to fraction form
    10,122.46/13,970.68 = 7,477.54/x
  3. Step 3: Cross multiply
    10,122.46x = 13,970.68 × 7,477.54
  4. Step 4: Simplify right side
    10,122.46x = 104,466,318.53
  5. Step 5: Solve for x
    x = 104,466,318.53/10,122.46
  6. Step 6: Final answer
    x = 10,320.25

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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.