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Finding the Fourth Proportional to 7,587.34, 11,374 and 4,805.60

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Solution

The fourth proportional to 7,587.34, 11,374 and 4,805.60 is: 7,203.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,587.34 : 11,374 = 4,805.60 : x
  2. Step 2: Convert to fraction form
    7,587.34/11,374 = 4,805.60/x
  3. Step 3: Cross multiply
    7,587.34x = 11,374 × 4,805.60
  4. Step 4: Simplify right side
    7,587.34x = 54,658,894.40
  5. Step 5: Solve for x
    x = 54,658,894.40/7,587.34
  6. Step 6: Final answer
    x = 7,203.96

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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.