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Finding the Fourth Proportional to 8,291.30, 11,440.02 and 4,705.47

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Solution

The fourth proportional to 8,291.30, 11,440.02 and 4,705.47 is: 6,492.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.30 : 11,440.02 = 4,705.47 : x
  2. Step 2: Convert to fraction form
    8,291.30/11,440.02 = 4,705.47/x
  3. Step 3: Cross multiply
    8,291.30x = 11,440.02 × 4,705.47
  4. Step 4: Simplify right side
    8,291.30x = 53,830,670.91
  5. Step 5: Solve for x
    x = 53,830,670.91/8,291.30
  6. Step 6: Final answer
    x = 6,492.43

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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.