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Finding the Fourth Proportional to 7,085.72, 10,648.02 and 4,320.38

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Solution

The fourth proportional to 7,085.72, 10,648.02 and 4,320.38 is: 6,492.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.72 : 10,648.02 = 4,320.38 : x
  2. Step 2: Convert to fraction form
    7,085.72/10,648.02 = 4,320.38/x
  3. Step 3: Cross multiply
    7,085.72x = 10,648.02 × 4,320.38
  4. Step 4: Simplify right side
    7,085.72x = 46,003,492.65
  5. Step 5: Solve for x
    x = 46,003,492.65/7,085.72
  6. Step 6: Final answer
    x = 6,492.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.