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Finding the Fourth Proportional to 7,259.68, 10,888 and 2,064.16

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Solution

The fourth proportional to 7,259.68, 10,888 and 2,064.16 is: 3,095.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,259.68 : 10,888 = 2,064.16 : x
  2. Step 2: Convert to fraction form
    7,259.68/10,888 = 2,064.16/x
  3. Step 3: Cross multiply
    7,259.68x = 10,888 × 2,064.16
  4. Step 4: Simplify right side
    7,259.68x = 22,474,574.08
  5. Step 5: Solve for x
    x = 22,474,574.08/7,259.68
  6. Step 6: Final answer
    x = 3,095.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.