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Finding the Fourth Proportional to 7,875.45, 10,865.03 and 6,880.77

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Solution

The fourth proportional to 7,875.45, 10,865.03 and 6,880.77 is: 9,492.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.45 : 10,865.03 = 6,880.77 : x
  2. Step 2: Convert to fraction form
    7,875.45/10,865.03 = 6,880.77/x
  3. Step 3: Cross multiply
    7,875.45x = 10,865.03 × 6,880.77
  4. Step 4: Simplify right side
    7,875.45x = 74,759,738.07
  5. Step 5: Solve for x
    x = 74,759,738.07/7,875.45
  6. Step 6: Final answer
    x = 9,492.76

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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.