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Finding the Fourth Proportional to 7,854.86, 11,782.40 and 2,011.32

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Solution

The fourth proportional to 7,854.86, 11,782.40 and 2,011.32 is: 3,017.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.86 : 11,782.40 = 2,011.32 : x
  2. Step 2: Convert to fraction form
    7,854.86/11,782.40 = 2,011.32/x
  3. Step 3: Cross multiply
    7,854.86x = 11,782.40 × 2,011.32
  4. Step 4: Simplify right side
    7,854.86x = 23,698,166.71
  5. Step 5: Solve for x
    x = 23,698,166.71/7,854.86
  6. Step 6: Final answer
    x = 3,017.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.