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Finding the Fourth Proportional to 7,884.36, 10,870.74 and 6,386.76

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Solution

The fourth proportional to 7,884.36, 10,870.74 and 6,386.76 is: 8,805.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.36 : 10,870.74 = 6,386.76 : x
  2. Step 2: Convert to fraction form
    7,884.36/10,870.74 = 6,386.76/x
  3. Step 3: Cross multiply
    7,884.36x = 10,870.74 × 6,386.76
  4. Step 4: Simplify right side
    7,884.36x = 69,428,807.40
  5. Step 5: Solve for x
    x = 69,428,807.40/7,884.36
  6. Step 6: Final answer
    x = 8,805.89

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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.