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Finding the Fourth Proportional to 10,587.89, 15,885.93 and 7,837.76

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Solution

The fourth proportional to 10,587.89, 15,885.93 and 7,837.76 is: 11,759.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,587.89 : 15,885.93 = 7,837.76 : x
  2. Step 2: Convert to fraction form
    10,587.89/15,885.93 = 7,837.76/x
  3. Step 3: Cross multiply
    10,587.89x = 15,885.93 × 7,837.76
  4. Step 4: Simplify right side
    10,587.89x = 124,510,106.72
  5. Step 5: Solve for x
    x = 124,510,106.72/10,587.89
  6. Step 6: Final answer
    x = 11,759.67

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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.