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Finding the Fourth Proportional to 10,463.13, 15,696.15 and 3,068.14

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Solution

The fourth proportional to 10,463.13, 15,696.15 and 3,068.14 is: 4,602.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.13 : 15,696.15 = 3,068.14 : x
  2. Step 2: Convert to fraction form
    10,463.13/15,696.15 = 3,068.14/x
  3. Step 3: Cross multiply
    10,463.13x = 15,696.15 × 3,068.14
  4. Step 4: Simplify right side
    10,463.13x = 48,157,985.66
  5. Step 5: Solve for x
    x = 48,157,985.66/10,463.13
  6. Step 6: Final answer
    x = 4,602.64

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Why These Related Problems?

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