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Finding the Fourth Proportional to 10,097.58, 13,929.87 and 7,115.06

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Solution

The fourth proportional to 10,097.58, 13,929.87 and 7,115.06 is: 9,815.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.58 : 13,929.87 = 7,115.06 : x
  2. Step 2: Convert to fraction form
    10,097.58/13,929.87 = 7,115.06/x
  3. Step 3: Cross multiply
    10,097.58x = 13,929.87 × 7,115.06
  4. Step 4: Simplify right side
    10,097.58x = 99,111,817.87
  5. Step 5: Solve for x
    x = 99,111,817.87/10,097.58
  6. Step 6: Final answer
    x = 9,815.40

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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.