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Finding the Fourth Proportional to 7,118.56, 9,821.01 and 4,465

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Solution

The fourth proportional to 7,118.56, 9,821.01 and 4,465 is: 6,160.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.56 : 9,821.01 = 4,465 : x
  2. Step 2: Convert to fraction form
    7,118.56/9,821.01 = 4,465/x
  3. Step 3: Cross multiply
    7,118.56x = 9,821.01 × 4,465
  4. Step 4: Simplify right side
    7,118.56x = 43,850,809.65
  5. Step 5: Solve for x
    x = 43,850,809.65/7,118.56
  6. Step 6: Final answer
    x = 6,160.07

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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.