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Finding the Fourth Proportional to 7,767.76, 10,718.03 and 4,582.06

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Solution

The fourth proportional to 7,767.76, 10,718.03 and 4,582.06 is: 6,322.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.76 : 10,718.03 = 4,582.06 : x
  2. Step 2: Convert to fraction form
    7,767.76/10,718.03 = 4,582.06/x
  3. Step 3: Cross multiply
    7,767.76x = 10,718.03 × 4,582.06
  4. Step 4: Simplify right side
    7,767.76x = 49,110,641.20
  5. Step 5: Solve for x
    x = 49,110,641.20/7,767.76
  6. Step 6: Final answer
    x = 6,322.37

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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.