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Finding the Fourth Proportional to 7,878.83, 10,875.56 and 7,038.07

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Solution

The fourth proportional to 7,878.83, 10,875.56 and 7,038.07 is: 9,715.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.83 : 10,875.56 = 7,038.07 : x
  2. Step 2: Convert to fraction form
    7,878.83/10,875.56 = 7,038.07/x
  3. Step 3: Cross multiply
    7,878.83x = 10,875.56 × 7,038.07
  4. Step 4: Simplify right side
    7,878.83x = 76,542,942.98
  5. Step 5: Solve for x
    x = 76,542,942.98/7,878.83
  6. Step 6: Final answer
    x = 9,715.02

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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.