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Finding the Fourth Proportional to 7,688.52, 10,607.96 and 4,330.16

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Solution

The fourth proportional to 7,688.52, 10,607.96 and 4,330.16 is: 5,974.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688.52 : 10,607.96 = 4,330.16 : x
  2. Step 2: Convert to fraction form
    7,688.52/10,607.96 = 4,330.16/x
  3. Step 3: Cross multiply
    7,688.52x = 10,607.96 × 4,330.16
  4. Step 4: Simplify right side
    7,688.52x = 45,934,161.64
  5. Step 5: Solve for x
    x = 45,934,161.64/7,688.52
  6. Step 6: Final answer
    x = 5,974.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.