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Finding the Fourth Proportional to 8,315.16, 11,476.80 and 5,663.63

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Solution

The fourth proportional to 8,315.16, 11,476.80 and 5,663.63 is: 7,817.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.16 : 11,476.80 = 5,663.63 : x
  2. Step 2: Convert to fraction form
    8,315.16/11,476.80 = 5,663.63/x
  3. Step 3: Cross multiply
    8,315.16x = 11,476.80 × 5,663.63
  4. Step 4: Simplify right side
    8,315.16x = 65,000,291.40
  5. Step 5: Solve for x
    x = 65,000,291.40/8,315.16
  6. Step 6: Final answer
    x = 7,817.08

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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.