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Finding the Fourth Proportional to 10,898.56, 15,031.76 and 7,546.98

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Solution

The fourth proportional to 10,898.56, 15,031.76 and 7,546.98 is: 10,409.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,898.56 : 15,031.76 = 7,546.98 : x
  2. Step 2: Convert to fraction form
    10,898.56/15,031.76 = 7,546.98/x
  3. Step 3: Cross multiply
    10,898.56x = 15,031.76 × 7,546.98
  4. Step 4: Simplify right side
    10,898.56x = 113,444,392.08
  5. Step 5: Solve for x
    x = 113,444,392.08/10,898.56
  6. Step 6: Final answer
    x = 10,409.12

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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.