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Finding the Fourth Proportional to 11,709.76, 17,552.40 and 5,130.40

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Solution

The fourth proportional to 11,709.76, 17,552.40 and 5,130.40 is: 7,690.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.76 : 17,552.40 = 5,130.40 : x
  2. Step 2: Convert to fraction form
    11,709.76/17,552.40 = 5,130.40/x
  3. Step 3: Cross multiply
    11,709.76x = 17,552.40 × 5,130.40
  4. Step 4: Simplify right side
    11,709.76x = 90,050,832.96
  5. Step 5: Solve for x
    x = 90,050,832.96/11,709.76
  6. Step 6: Final answer
    x = 7,690.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.