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Finding the Fourth Proportional to 7,767.01, 10,718.85 and 4,409.76

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Solution

The fourth proportional to 7,767.01, 10,718.85 and 4,409.76 is: 6,085.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.01 : 10,718.85 = 4,409.76 : x
  2. Step 2: Convert to fraction form
    7,767.01/10,718.85 = 4,409.76/x
  3. Step 3: Cross multiply
    7,767.01x = 10,718.85 × 4,409.76
  4. Step 4: Simplify right side
    7,767.01x = 47,267,533.93
  5. Step 5: Solve for x
    x = 47,267,533.93/7,767.01
  6. Step 6: Final answer
    x = 6,085.68

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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.