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Finding the Fourth Proportional to 7,920.74, 10,931 and 4,564.08

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Solution

The fourth proportional to 7,920.74, 10,931 and 4,564.08 is: 6,298.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920.74 : 10,931 = 4,564.08 : x
  2. Step 2: Convert to fraction form
    7,920.74/10,931 = 4,564.08/x
  3. Step 3: Cross multiply
    7,920.74x = 10,931 × 4,564.08
  4. Step 4: Simplify right side
    7,920.74x = 49,889,958.48
  5. Step 5: Solve for x
    x = 49,889,958.48/7,920.74
  6. Step 6: Final answer
    x = 6,298.65

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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.