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Finding the Fourth Proportional to 10,704.16, 14,768.40 and 6,510.88

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Solution

The fourth proportional to 10,704.16, 14,768.40 and 6,510.88 is: 8,982.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.16 : 14,768.40 = 6,510.88 : x
  2. Step 2: Convert to fraction form
    10,704.16/14,768.40 = 6,510.88/x
  3. Step 3: Cross multiply
    10,704.16x = 14,768.40 × 6,510.88
  4. Step 4: Simplify right side
    10,704.16x = 96,155,280.19
  5. Step 5: Solve for x
    x = 96,155,280.19/10,704.16
  6. Step 6: Final answer
    x = 8,982.98

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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.