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Finding the Fourth Proportional to 10,510.08, 14,504.04 and 6,966.96

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Solution

The fourth proportional to 10,510.08, 14,504.04 and 6,966.96 is: 9,614.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.08 : 14,504.04 = 6,966.96 : x
  2. Step 2: Convert to fraction form
    10,510.08/14,504.04 = 6,966.96/x
  3. Step 3: Cross multiply
    10,510.08x = 14,504.04 × 6,966.96
  4. Step 4: Simplify right side
    10,510.08x = 101,049,066.52
  5. Step 5: Solve for x
    x = 101,049,066.52/10,510.08
  6. Step 6: Final answer
    x = 9,614.49

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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.