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Finding the Fourth Proportional to 10,565.44, 15,835.53 and 4,935.53

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Solution

The fourth proportional to 10,565.44, 15,835.53 and 4,935.53 is: 7,397.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.44 : 15,835.53 = 4,935.53 : x
  2. Step 2: Convert to fraction form
    10,565.44/15,835.53 = 4,935.53/x
  3. Step 3: Cross multiply
    10,565.44x = 15,835.53 × 4,935.53
  4. Step 4: Simplify right side
    10,565.44x = 78,156,791.48
  5. Step 5: Solve for x
    x = 78,156,791.48/10,565.44
  6. Step 6: Final answer
    x = 7,397.40

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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.