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Finding the Fourth Proportional to 8,384.61, 11,570.01 and 4,607.74

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Solution

The fourth proportional to 8,384.61, 11,570.01 and 4,607.74 is: 6,358.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.61 : 11,570.01 = 4,607.74 : x
  2. Step 2: Convert to fraction form
    8,384.61/11,570.01 = 4,607.74/x
  3. Step 3: Cross multiply
    8,384.61x = 11,570.01 × 4,607.74
  4. Step 4: Simplify right side
    8,384.61x = 53,311,568.86
  5. Step 5: Solve for x
    x = 53,311,568.86/8,384.61
  6. Step 6: Final answer
    x = 6,358.26

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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.