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Finding the Fourth Proportional to 7,709.01, 10,638.65 and 4,565.20

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Solution

The fourth proportional to 7,709.01, 10,638.65 and 4,565.20 is: 6,300.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.01 : 10,638.65 = 4,565.20 : x
  2. Step 2: Convert to fraction form
    7,709.01/10,638.65 = 4,565.20/x
  3. Step 3: Cross multiply
    7,709.01x = 10,638.65 × 4,565.20
  4. Step 4: Simplify right side
    7,709.01x = 48,567,564.98
  5. Step 5: Solve for x
    x = 48,567,564.98/7,709.01
  6. Step 6: Final answer
    x = 6,300.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.