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Finding the Fourth Proportional to 7,854.29, 11,783.42 and 2,307.81

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Solution

The fourth proportional to 7,854.29, 11,783.42 and 2,307.81 is: 3,462.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.29 : 11,783.42 = 2,307.81 : x
  2. Step 2: Convert to fraction form
    7,854.29/11,783.42 = 2,307.81/x
  3. Step 3: Cross multiply
    7,854.29x = 11,783.42 × 2,307.81
  4. Step 4: Simplify right side
    7,854.29x = 27,193,894.51
  5. Step 5: Solve for x
    x = 27,193,894.51/7,854.29
  6. Step 6: Final answer
    x = 3,462.30

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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.