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Finding the Fourth Proportional to 7,045.34, 10,565.28 and 3,756.64

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Solution

The fourth proportional to 7,045.34, 10,565.28 and 3,756.64 is: 5,633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,045.34 : 10,565.28 = 3,756.64 : x
  2. Step 2: Convert to fraction form
    7,045.34/10,565.28 = 3,756.64/x
  3. Step 3: Cross multiply
    7,045.34x = 10,565.28 × 3,756.64
  4. Step 4: Simplify right side
    7,045.34x = 39,689,953.46
  5. Step 5: Solve for x
    x = 39,689,953.46/7,045.34
  6. Step 6: Final answer
    x = 5,633.50

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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.