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Finding the Fourth Proportional to 7,264.96, 10,024.16 and 4,120.32

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Solution

The fourth proportional to 7,264.96, 10,024.16 and 4,120.32 is: 5,685.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,264.96 : 10,024.16 = 4,120.32 : x
  2. Step 2: Convert to fraction form
    7,264.96/10,024.16 = 4,120.32/x
  3. Step 3: Cross multiply
    7,264.96x = 10,024.16 × 4,120.32
  4. Step 4: Simplify right side
    7,264.96x = 41,302,746.93
  5. Step 5: Solve for x
    x = 41,302,746.93/7,264.96
  6. Step 6: Final answer
    x = 5,685.20

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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.