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Finding the Fourth Proportional to 10,085.88, 15,109.38 and 4,895.40

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Solution

The fourth proportional to 10,085.88, 15,109.38 and 4,895.40 is: 7,333.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085.88 : 15,109.38 = 4,895.40 : x
  2. Step 2: Convert to fraction form
    10,085.88/15,109.38 = 4,895.40/x
  3. Step 3: Cross multiply
    10,085.88x = 15,109.38 × 4,895.40
  4. Step 4: Simplify right side
    10,085.88x = 73,966,458.85
  5. Step 5: Solve for x
    x = 73,966,458.85/10,085.88
  6. Step 6: Final answer
    x = 7,333.66

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