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Finding the Fourth Proportional to 7,955.62, 10,978.63 and 4,598.42

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Solution

The fourth proportional to 7,955.62, 10,978.63 and 4,598.42 is: 6,345.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,955.62 : 10,978.63 = 4,598.42 : x
  2. Step 2: Convert to fraction form
    7,955.62/10,978.63 = 4,598.42/x
  3. Step 3: Cross multiply
    7,955.62x = 10,978.63 × 4,598.42
  4. Step 4: Simplify right side
    7,955.62x = 50,484,285.38
  5. Step 5: Solve for x
    x = 50,484,285.38/7,955.62
  6. Step 6: Final answer
    x = 6,345.74

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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.