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Finding the Fourth Proportional to 7,047.65, 10,514.08 and 6,476.20

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Solution

The fourth proportional to 7,047.65, 10,514.08 and 6,476.20 is: 9,661.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.65 : 10,514.08 = 6,476.20 : x
  2. Step 2: Convert to fraction form
    7,047.65/10,514.08 = 6,476.20/x
  3. Step 3: Cross multiply
    7,047.65x = 10,514.08 × 6,476.20
  4. Step 4: Simplify right side
    7,047.65x = 68,091,284.90
  5. Step 5: Solve for x
    x = 68,091,284.90/7,047.65
  6. Step 6: Final answer
    x = 9,661.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.