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Finding the Fourth Proportional to 7,839.61, 10,818.89 and 4,303.06

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Solution

The fourth proportional to 7,839.61, 10,818.89 and 4,303.06 is: 5,938.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839.61 : 10,818.89 = 4,303.06 : x
  2. Step 2: Convert to fraction form
    7,839.61/10,818.89 = 4,303.06/x
  3. Step 3: Cross multiply
    7,839.61x = 10,818.89 × 4,303.06
  4. Step 4: Simplify right side
    7,839.61x = 46,554,332.80
  5. Step 5: Solve for x
    x = 46,554,332.80/7,839.61
  6. Step 6: Final answer
    x = 5,938.35

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Why These Related Problems?

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