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Finding the Fourth Proportional to 10,492.17, 14,478.65 and 5,775.54

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Solution

The fourth proportional to 10,492.17, 14,478.65 and 5,775.54 is: 7,969.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.17 : 14,478.65 = 5,775.54 : x
  2. Step 2: Convert to fraction form
    10,492.17/14,478.65 = 5,775.54/x
  3. Step 3: Cross multiply
    10,492.17x = 14,478.65 × 5,775.54
  4. Step 4: Simplify right side
    10,492.17x = 83,621,993.34
  5. Step 5: Solve for x
    x = 83,621,993.34/10,492.17
  6. Step 6: Final answer
    x = 7,969.94

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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.