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Finding the Fourth Proportional to 10,465.10, 15,699.22 and 3,068.69

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Solution

The fourth proportional to 10,465.10, 15,699.22 and 3,068.69 is: 4,603.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.10 : 15,699.22 = 3,068.69 : x
  2. Step 2: Convert to fraction form
    10,465.10/15,699.22 = 3,068.69/x
  3. Step 3: Cross multiply
    10,465.10x = 15,699.22 × 3,068.69
  4. Step 4: Simplify right side
    10,465.10x = 48,175,953.25
  5. Step 5: Solve for x
    x = 48,175,953.25/10,465.10
  6. Step 6: Final answer
    x = 4,603.49

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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.