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Finding the Fourth Proportional to 7,140.63, 10,710.91 and 4,763.69

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Solution

The fourth proportional to 7,140.63, 10,710.91 and 4,763.69 is: 7,145.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.63 : 10,710.91 = 4,763.69 : x
  2. Step 2: Convert to fraction form
    7,140.63/10,710.91 = 4,763.69/x
  3. Step 3: Cross multiply
    7,140.63x = 10,710.91 × 4,763.69
  4. Step 4: Simplify right side
    7,140.63x = 51,023,454.86
  5. Step 5: Solve for x
    x = 51,023,454.86/7,140.63
  6. Step 6: Final answer
    x = 7,145.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.