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Finding the Fourth Proportional to 7,718.96, 10,652.36 and 4,733.08

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Solution

The fourth proportional to 7,718.96, 10,652.36 and 4,733.08 is: 6,531.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718.96 : 10,652.36 = 4,733.08 : x
  2. Step 2: Convert to fraction form
    7,718.96/10,652.36 = 4,733.08/x
  3. Step 3: Cross multiply
    7,718.96x = 10,652.36 × 4,733.08
  4. Step 4: Simplify right side
    7,718.96x = 50,418,472.07
  5. Step 5: Solve for x
    x = 50,418,472.07/7,718.96
  6. Step 6: Final answer
    x = 6,531.77

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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.