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Finding the Fourth Proportional to 11,337.83, 15,635.73 and 7,087.53

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Solution

The fourth proportional to 11,337.83, 15,635.73 and 7,087.53 is: 9,774.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,337.83 : 15,635.73 = 7,087.53 : x
  2. Step 2: Convert to fraction form
    11,337.83/15,635.73 = 7,087.53/x
  3. Step 3: Cross multiply
    11,337.83x = 15,635.73 × 7,087.53
  4. Step 4: Simplify right side
    11,337.83x = 110,818,705.45
  5. Step 5: Solve for x
    x = 110,818,705.45/11,337.83
  6. Step 6: Final answer
    x = 9,774.25

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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.