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Finding the Fourth Proportional to 7,864.59, 10,851.93 and 4,677.81

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Solution

The fourth proportional to 7,864.59, 10,851.93 and 4,677.81 is: 6,454.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.59 : 10,851.93 = 4,677.81 : x
  2. Step 2: Convert to fraction form
    7,864.59/10,851.93 = 4,677.81/x
  3. Step 3: Cross multiply
    7,864.59x = 10,851.93 × 4,677.81
  4. Step 4: Simplify right side
    7,864.59x = 50,763,266.67
  5. Step 5: Solve for x
    x = 50,763,266.67/7,864.59
  6. Step 6: Final answer
    x = 6,454.66

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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.