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Finding the Fourth Proportional to 10,045.42, 15,063 and 5,886.76

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Solution

The fourth proportional to 10,045.42, 15,063 and 5,886.76 is: 8,827.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.42 : 15,063 = 5,886.76 : x
  2. Step 2: Convert to fraction form
    10,045.42/15,063 = 5,886.76/x
  3. Step 3: Cross multiply
    10,045.42x = 15,063 × 5,886.76
  4. Step 4: Simplify right side
    10,045.42x = 88,672,265.88
  5. Step 5: Solve for x
    x = 88,672,265.88/10,045.42
  6. Step 6: Final answer
    x = 8,827.13

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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.