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Finding the Fourth Proportional to 7,722.31, 10,656.95 and 4,364.93

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Solution

The fourth proportional to 7,722.31, 10,656.95 and 4,364.93 is: 6,023.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.31 : 10,656.95 = 4,364.93 : x
  2. Step 2: Convert to fraction form
    7,722.31/10,656.95 = 4,364.93/x
  3. Step 3: Cross multiply
    7,722.31x = 10,656.95 × 4,364.93
  4. Step 4: Simplify right side
    7,722.31x = 46,516,813.62
  5. Step 5: Solve for x
    x = 46,516,813.62/7,722.31
  6. Step 6: Final answer
    x = 6,023.69

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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.