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Finding the Fourth Proportional to 8,117.01, 11,220.53 and 5,779.35

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Solution

The fourth proportional to 8,117.01, 11,220.53 and 5,779.35 is: 7,989.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.01 : 11,220.53 = 5,779.35 : x
  2. Step 2: Convert to fraction form
    8,117.01/11,220.53 = 5,779.35/x
  3. Step 3: Cross multiply
    8,117.01x = 11,220.53 × 5,779.35
  4. Step 4: Simplify right side
    8,117.01x = 64,847,341.16
  5. Step 5: Solve for x
    x = 64,847,341.16/8,117.01
  6. Step 6: Final answer
    x = 7,989.07

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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.