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Finding the Fourth Proportional to 10,492.84, 15,739.20 and 3,097.36

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Solution

The fourth proportional to 10,492.84, 15,739.20 and 3,097.36 is: 4,646.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.84 : 15,739.20 = 3,097.36 : x
  2. Step 2: Convert to fraction form
    10,492.84/15,739.20 = 3,097.36/x
  3. Step 3: Cross multiply
    10,492.84x = 15,739.20 × 3,097.36
  4. Step 4: Simplify right side
    10,492.84x = 48,749,968.51
  5. Step 5: Solve for x
    x = 48,749,968.51/10,492.84
  6. Step 6: Final answer
    x = 4,646.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.