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Finding the Fourth Proportional to 8,878.50, 12,253.95 and 5,152.50

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Solution

The fourth proportional to 8,878.50, 12,253.95 and 5,152.50 is: 7,111.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,878.50 : 12,253.95 = 5,152.50 : x
  2. Step 2: Convert to fraction form
    8,878.50/12,253.95 = 5,152.50/x
  3. Step 3: Cross multiply
    8,878.50x = 12,253.95 × 5,152.50
  4. Step 4: Simplify right side
    8,878.50x = 63,138,477.38
  5. Step 5: Solve for x
    x = 63,138,477.38/8,878.50
  6. Step 6: Final answer
    x = 7,111.39

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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.