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Finding the Fourth Proportional to 8,723.84, 12,038.76 and 4,744.86

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Solution

The fourth proportional to 8,723.84, 12,038.76 and 4,744.86 is: 6,547.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,723.84 : 12,038.76 = 4,744.86 : x
  2. Step 2: Convert to fraction form
    8,723.84/12,038.76 = 4,744.86/x
  3. Step 3: Cross multiply
    8,723.84x = 12,038.76 × 4,744.86
  4. Step 4: Simplify right side
    8,723.84x = 57,122,185.63
  5. Step 5: Solve for x
    x = 57,122,185.63/8,723.84
  6. Step 6: Final answer
    x = 6,547.83

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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.