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Finding the Fourth Proportional to 10,985.76, 15,156.64 and 6,266.72

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Solution

The fourth proportional to 10,985.76, 15,156.64 and 6,266.72 is: 8,645.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,985.76 : 15,156.64 = 6,266.72 : x
  2. Step 2: Convert to fraction form
    10,985.76/15,156.64 = 6,266.72/x
  3. Step 3: Cross multiply
    10,985.76x = 15,156.64 × 6,266.72
  4. Step 4: Simplify right side
    10,985.76x = 94,982,419.02
  5. Step 5: Solve for x
    x = 94,982,419.02/10,985.76
  6. Step 6: Final answer
    x = 8,645.96

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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.