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Finding the Fourth Proportional to 8,445.92, 11,655.36 and 4,909.28

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Solution

The fourth proportional to 8,445.92, 11,655.36 and 4,909.28 is: 6,774.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,445.92 : 11,655.36 = 4,909.28 : x
  2. Step 2: Convert to fraction form
    8,445.92/11,655.36 = 4,909.28/x
  3. Step 3: Cross multiply
    8,445.92x = 11,655.36 × 4,909.28
  4. Step 4: Simplify right side
    8,445.92x = 57,219,425.74
  5. Step 5: Solve for x
    x = 57,219,425.74/8,445.92
  6. Step 6: Final answer
    x = 6,774.80

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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.