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Finding the Fourth Proportional to 8,354.61, 11,529.54 and 4,577.78

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Solution

The fourth proportional to 8,354.61, 11,529.54 and 4,577.78 is: 6,317.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.61 : 11,529.54 = 4,577.78 : x
  2. Step 2: Convert to fraction form
    8,354.61/11,529.54 = 4,577.78/x
  3. Step 3: Cross multiply
    8,354.61x = 11,529.54 × 4,577.78
  4. Step 4: Simplify right side
    8,354.61x = 52,779,726.45
  5. Step 5: Solve for x
    x = 52,779,726.45/8,354.61
  6. Step 6: Final answer
    x = 6,317.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.