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Finding the Fourth Proportional to 10,492.92, 15,615.54 and 10,143

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Solution

The fourth proportional to 10,492.92, 15,615.54 and 10,143 is: 15,094.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.92 : 15,615.54 = 10,143 : x
  2. Step 2: Convert to fraction form
    10,492.92/15,615.54 = 10,143/x
  3. Step 3: Cross multiply
    10,492.92x = 15,615.54 × 10,143
  4. Step 4: Simplify right side
    10,492.92x = 158,388,422.22
  5. Step 5: Solve for x
    x = 158,388,422.22/10,492.92
  6. Step 6: Final answer
    x = 15,094.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.