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Finding the Fourth Proportional to 10,055.98, 15,063.92 and 7,854.40

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Solution

The fourth proportional to 10,055.98, 15,063.92 and 7,854.40 is: 11,765.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,055.98 : 15,063.92 = 7,854.40 : x
  2. Step 2: Convert to fraction form
    10,055.98/15,063.92 = 7,854.40/x
  3. Step 3: Cross multiply
    10,055.98x = 15,063.92 × 7,854.40
  4. Step 4: Simplify right side
    10,055.98x = 118,317,938.66
  5. Step 5: Solve for x
    x = 118,317,938.66/10,055.98
  6. Step 6: Final answer
    x = 11,765.93

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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.