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Finding the Fourth Proportional to 8,320.85, 11,492.23 and 5,663.65

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Solution

The fourth proportional to 8,320.85, 11,492.23 and 5,663.65 is: 7,822.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,320.85 : 11,492.23 = 5,663.65 : x
  2. Step 2: Convert to fraction form
    8,320.85/11,492.23 = 5,663.65/x
  3. Step 3: Cross multiply
    8,320.85x = 11,492.23 × 5,663.65
  4. Step 4: Simplify right side
    8,320.85x = 65,087,925.40
  5. Step 5: Solve for x
    x = 65,087,925.40/8,320.85
  6. Step 6: Final answer
    x = 7,822.27

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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.