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Finding the Fourth Proportional to 7,846.40, 10,830.06 and 4,860.47

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Solution

The fourth proportional to 7,846.40, 10,830.06 and 4,860.47 is: 6,708.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.40 : 10,830.06 = 4,860.47 : x
  2. Step 2: Convert to fraction form
    7,846.40/10,830.06 = 4,860.47/x
  3. Step 3: Cross multiply
    7,846.40x = 10,830.06 × 4,860.47
  4. Step 4: Simplify right side
    7,846.40x = 52,639,127.58
  5. Step 5: Solve for x
    x = 52,639,127.58/7,846.40
  6. Step 6: Final answer
    x = 6,708.70

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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.