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Finding the Fourth Proportional to 7,101.57, 10,654.31 and 6,326.93

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Solution

The fourth proportional to 7,101.57, 10,654.31 and 6,326.93 is: 9,492.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.57 : 10,654.31 = 6,326.93 : x
  2. Step 2: Convert to fraction form
    7,101.57/10,654.31 = 6,326.93/x
  3. Step 3: Cross multiply
    7,101.57x = 10,654.31 × 6,326.93
  4. Step 4: Simplify right side
    7,101.57x = 67,409,036.11
  5. Step 5: Solve for x
    x = 67,409,036.11/7,101.57
  6. Step 6: Final answer
    x = 9,492.13

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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.