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Finding the Fourth Proportional to 7,709.51, 10,639.34 and 4,565.70

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Solution

The fourth proportional to 7,709.51, 10,639.34 and 4,565.70 is: 6,300.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.51 : 10,639.34 = 4,565.70 : x
  2. Step 2: Convert to fraction form
    7,709.51/10,639.34 = 4,565.70/x
  3. Step 3: Cross multiply
    7,709.51x = 10,639.34 × 4,565.70
  4. Step 4: Simplify right side
    7,709.51x = 48,576,011.81
  5. Step 5: Solve for x
    x = 48,576,011.81/7,709.51
  6. Step 6: Final answer
    x = 6,300.80

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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.