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Finding the Fourth Proportional to 11,748.64, 16,210.58 and 7,442.98

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Solution

The fourth proportional to 11,748.64, 16,210.58 and 7,442.98 is: 10,269.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,748.64 : 16,210.58 = 7,442.98 : x
  2. Step 2: Convert to fraction form
    11,748.64/16,210.58 = 7,442.98/x
  3. Step 3: Cross multiply
    11,748.64x = 16,210.58 × 7,442.98
  4. Step 4: Simplify right side
    11,748.64x = 120,655,114.17
  5. Step 5: Solve for x
    x = 120,655,114.17/11,748.64
  6. Step 6: Final answer
    x = 10,269.71

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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.