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Finding the Fourth Proportional to 7,875.45, 11,886.10 and 7,875.45

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Solution

The fourth proportional to 7,875.45, 11,886.10 and 7,875.45 is: 11,886.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.45 : 11,886.10 = 7,875.45 : x
  2. Step 2: Convert to fraction form
    7,875.45/11,886.10 = 7,875.45/x
  3. Step 3: Cross multiply
    7,875.45x = 11,886.10 × 7,875.45
  4. Step 4: Simplify right side
    7,875.45x = 93,608,366.56
  5. Step 5: Solve for x
    x = 93,608,366.56/7,875.45
  6. Step 6: Final answer
    x = 11,886.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.