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Finding the Fourth Proportional to 10,510.40, 15,769.20 and 4,671.20

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Solution

The fourth proportional to 10,510.40, 15,769.20 and 4,671.20 is: 7,008.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.40 : 15,769.20 = 4,671.20 : x
  2. Step 2: Convert to fraction form
    10,510.40/15,769.20 = 4,671.20/x
  3. Step 3: Cross multiply
    10,510.40x = 15,769.20 × 4,671.20
  4. Step 4: Simplify right side
    10,510.40x = 73,661,087.04
  5. Step 5: Solve for x
    x = 73,661,087.04/10,510.40
  6. Step 6: Final answer
    x = 7,008.40

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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.