Home / 7,827.93-11,742.13-2,281.16

Finding the Fourth Proportional to 7,827.93, 11,742.13 and 2,281.16

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Solution

The fourth proportional to 7,827.93, 11,742.13 and 2,281.16 is: 3,421.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.93 : 11,742.13 = 2,281.16 : x
  2. Step 2: Convert to fraction form
    7,827.93/11,742.13 = 2,281.16/x
  3. Step 3: Cross multiply
    7,827.93x = 11,742.13 × 2,281.16
  4. Step 4: Simplify right side
    7,827.93x = 26,785,612.86
  5. Step 5: Solve for x
    x = 26,785,612.86/7,827.93
  6. Step 6: Final answer
    x = 3,421.80

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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.