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Finding the Fourth Proportional to 10,294.44, 15,429.82 and 4,051.02

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Solution

The fourth proportional to 10,294.44, 15,429.82 and 4,051.02 is: 6,071.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.44 : 15,429.82 = 4,051.02 : x
  2. Step 2: Convert to fraction form
    10,294.44/15,429.82 = 4,051.02/x
  3. Step 3: Cross multiply
    10,294.44x = 15,429.82 × 4,051.02
  4. Step 4: Simplify right side
    10,294.44x = 62,506,509.42
  5. Step 5: Solve for x
    x = 62,506,509.42/10,294.44
  6. Step 6: Final answer
    x = 6,071.87

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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.