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Finding the Fourth Proportional to 7,104.01, 9,808.76 and 4,587.60

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Solution

The fourth proportional to 7,104.01, 9,808.76 and 4,587.60 is: 6,334.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.01 : 9,808.76 = 4,587.60 : x
  2. Step 2: Convert to fraction form
    7,104.01/9,808.76 = 4,587.60/x
  3. Step 3: Cross multiply
    7,104.01x = 9,808.76 × 4,587.60
  4. Step 4: Simplify right side
    7,104.01x = 44,998,667.38
  5. Step 5: Solve for x
    x = 44,998,667.38/7,104.01
  6. Step 6: Final answer
    x = 6,334.26

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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.