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Finding the Fourth Proportional to 10,492.54, 14,481.28 and 7,970.50

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Solution

The fourth proportional to 10,492.54, 14,481.28 and 7,970.50 is: 11,000.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.54 : 14,481.28 = 7,970.50 : x
  2. Step 2: Convert to fraction form
    10,492.54/14,481.28 = 7,970.50/x
  3. Step 3: Cross multiply
    10,492.54x = 14,481.28 × 7,970.50
  4. Step 4: Simplify right side
    10,492.54x = 115,423,070.30
  5. Step 5: Solve for x
    x = 115,423,070.30/10,492.54
  6. Step 6: Final answer
    x = 11,000.49

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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.