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Finding the Fourth Proportional to 10,070.62, 13,894.41 and 6,530.98

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Solution

The fourth proportional to 10,070.62, 13,894.41 and 6,530.98 is: 9,010.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.62 : 13,894.41 = 6,530.98 : x
  2. Step 2: Convert to fraction form
    10,070.62/13,894.41 = 6,530.98/x
  3. Step 3: Cross multiply
    10,070.62x = 13,894.41 × 6,530.98
  4. Step 4: Simplify right side
    10,070.62x = 90,744,113.82
  5. Step 5: Solve for x
    x = 90,744,113.82/10,070.62
  6. Step 6: Final answer
    x = 9,010.78

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