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Finding the Fourth Proportional to 8,953.60, 12,354.02 and 5,416.74

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Solution

The fourth proportional to 8,953.60, 12,354.02 and 5,416.74 is: 7,473.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,953.60 : 12,354.02 = 5,416.74 : x
  2. Step 2: Convert to fraction form
    8,953.60/12,354.02 = 5,416.74/x
  3. Step 3: Cross multiply
    8,953.60x = 12,354.02 × 5,416.74
  4. Step 4: Simplify right side
    8,953.60x = 66,918,425.44
  5. Step 5: Solve for x
    x = 66,918,425.44/8,953.60
  6. Step 6: Final answer
    x = 7,473.91

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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.