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Finding the Fourth Proportional to 7,714.48, 10,645.92 and 4,572.16

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Solution

The fourth proportional to 7,714.48, 10,645.92 and 4,572.16 is: 6,309.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.48 : 10,645.92 = 4,572.16 : x
  2. Step 2: Convert to fraction form
    7,714.48/10,645.92 = 4,572.16/x
  3. Step 3: Cross multiply
    7,714.48x = 10,645.92 × 4,572.16
  4. Step 4: Simplify right side
    7,714.48x = 48,674,849.59
  5. Step 5: Solve for x
    x = 48,674,849.59/7,714.48
  6. Step 6: Final answer
    x = 6,309.54

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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.