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Finding the Fourth Proportional to 7,113.12, 10,648.62 and 5,272.50

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Solution

The fourth proportional to 7,113.12, 10,648.62 and 5,272.50 is: 7,893.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.12 : 10,648.62 = 5,272.50 : x
  2. Step 2: Convert to fraction form
    7,113.12/10,648.62 = 5,272.50/x
  3. Step 3: Cross multiply
    7,113.12x = 10,648.62 × 5,272.50
  4. Step 4: Simplify right side
    7,113.12x = 56,144,848.95
  5. Step 5: Solve for x
    x = 56,144,848.95/7,113.12
  6. Step 6: Final answer
    x = 7,893.14

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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.