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Finding the Fourth Proportional to 7,097.64, 10,646.56 and 2,715.32

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Solution

The fourth proportional to 7,097.64, 10,646.56 and 2,715.32 is: 4,073.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.64 : 10,646.56 = 2,715.32 : x
  2. Step 2: Convert to fraction form
    7,097.64/10,646.56 = 2,715.32/x
  3. Step 3: Cross multiply
    7,097.64x = 10,646.56 × 2,715.32
  4. Step 4: Simplify right side
    7,097.64x = 28,908,817.30
  5. Step 5: Solve for x
    x = 28,908,817.30/7,097.64
  6. Step 6: Final answer
    x = 4,073.02

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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.