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Finding the Fourth Proportional to 7,878.30, 10,878.63 and 7,037.52

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Solution

The fourth proportional to 7,878.30, 10,878.63 and 7,037.52 is: 9,717.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.30 : 10,878.63 = 7,037.52 : x
  2. Step 2: Convert to fraction form
    7,878.30/10,878.63 = 7,037.52/x
  3. Step 3: Cross multiply
    7,878.30x = 10,878.63 × 7,037.52
  4. Step 4: Simplify right side
    7,878.30x = 76,558,576.20
  5. Step 5: Solve for x
    x = 76,558,576.20/7,878.30
  6. Step 6: Final answer
    x = 9,717.65

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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.