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Finding the Fourth Proportional to 10,460.13, 15,691.65 and 3,065.14

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Solution

The fourth proportional to 10,460.13, 15,691.65 and 3,065.14 is: 4,598.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460.13 : 15,691.65 = 3,065.14 : x
  2. Step 2: Convert to fraction form
    10,460.13/15,691.65 = 3,065.14/x
  3. Step 3: Cross multiply
    10,460.13x = 15,691.65 × 3,065.14
  4. Step 4: Simplify right side
    10,460.13x = 48,097,104.08
  5. Step 5: Solve for x
    x = 48,097,104.08/10,460.13
  6. Step 6: Final answer
    x = 4,598.14

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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.