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Finding the Fourth Proportional to 7,259.13, 10,006.86 and 5,663.97

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Solution

The fourth proportional to 7,259.13, 10,006.86 and 5,663.97 is: 7,807.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,259.13 : 10,006.86 = 5,663.97 : x
  2. Step 2: Convert to fraction form
    7,259.13/10,006.86 = 5,663.97/x
  3. Step 3: Cross multiply
    7,259.13x = 10,006.86 × 5,663.97
  4. Step 4: Simplify right side
    7,259.13x = 56,678,554.83
  5. Step 5: Solve for x
    x = 56,678,554.83/7,259.13
  6. Step 6: Final answer
    x = 7,807.90

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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.