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Finding the Fourth Proportional to 7,332.76, 10,118.46 and 4,978

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Solution

The fourth proportional to 7,332.76, 10,118.46 and 4,978 is: 6,869.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,332.76 : 10,118.46 = 4,978 : x
  2. Step 2: Convert to fraction form
    7,332.76/10,118.46 = 4,978/x
  3. Step 3: Cross multiply
    7,332.76x = 10,118.46 × 4,978
  4. Step 4: Simplify right side
    7,332.76x = 50,369,693.88
  5. Step 5: Solve for x
    x = 50,369,693.88/7,332.76
  6. Step 6: Final answer
    x = 6,869.13

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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.