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Finding the Fourth Proportional to 11,607.60, 16,018.49 and 6,302.51

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Solution

The fourth proportional to 11,607.60, 16,018.49 and 6,302.51 is: 8,697.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607.60 : 16,018.49 = 6,302.51 : x
  2. Step 2: Convert to fraction form
    11,607.60/16,018.49 = 6,302.51/x
  3. Step 3: Cross multiply
    11,607.60x = 16,018.49 × 6,302.51
  4. Step 4: Simplify right side
    11,607.60x = 100,956,613.32
  5. Step 5: Solve for x
    x = 100,956,613.32/11,607.60
  6. Step 6: Final answer
    x = 8,697.46

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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.