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Finding the Fourth Proportional to 10,256.19, 15,384.30 and 7,340.19

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Solution

The fourth proportional to 10,256.19, 15,384.30 and 7,340.19 is: 11,010.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.19 : 15,384.30 = 7,340.19 : x
  2. Step 2: Convert to fraction form
    10,256.19/15,384.30 = 7,340.19/x
  3. Step 3: Cross multiply
    10,256.19x = 15,384.30 × 7,340.19
  4. Step 4: Simplify right side
    10,256.19x = 112,923,685.02
  5. Step 5: Solve for x
    x = 112,923,685.02/10,256.19
  6. Step 6: Final answer
    x = 11,010.30

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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.