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Finding the Fourth Proportional to 7,848.18, 11,775.15 and 7,384.50

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Solution

The fourth proportional to 7,848.18, 11,775.15 and 7,384.50 is: 11,079.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.18 : 11,775.15 = 7,384.50 : x
  2. Step 2: Convert to fraction form
    7,848.18/11,775.15 = 7,384.50/x
  3. Step 3: Cross multiply
    7,848.18x = 11,775.15 × 7,384.50
  4. Step 4: Simplify right side
    7,848.18x = 86,953,595.18
  5. Step 5: Solve for x
    x = 86,953,595.18/7,848.18
  6. Step 6: Final answer
    x = 11,079.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.