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Finding the Fourth Proportional to 7,877.04, 10,870.22 and 4,340.17

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Solution

The fourth proportional to 7,877.04, 10,870.22 and 4,340.17 is: 5,989.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.04 : 10,870.22 = 4,340.17 : x
  2. Step 2: Convert to fraction form
    7,877.04/10,870.22 = 4,340.17/x
  3. Step 3: Cross multiply
    7,877.04x = 10,870.22 × 4,340.17
  4. Step 4: Simplify right side
    7,877.04x = 47,178,602.74
  5. Step 5: Solve for x
    x = 47,178,602.74/7,877.04
  6. Step 6: Final answer
    x = 5,989.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.