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Finding the Fourth Proportional to 10,495.84, 15,741.18 and 3,098.32

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Solution

The fourth proportional to 10,495.84, 15,741.18 and 3,098.32 is: 4,646.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.84 : 15,741.18 = 3,098.32 : x
  2. Step 2: Convert to fraction form
    10,495.84/15,741.18 = 3,098.32/x
  3. Step 3: Cross multiply
    10,495.84x = 15,741.18 × 3,098.32
  4. Step 4: Simplify right side
    10,495.84x = 48,771,212.82
  5. Step 5: Solve for x
    x = 48,771,212.82/10,495.84
  6. Step 6: Final answer
    x = 4,646.72

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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.