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Finding the Fourth Proportional to 10,363.89, 15,545.72 and 6,205.06

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Solution

The fourth proportional to 10,363.89, 15,545.72 and 6,205.06 is: 9,307.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,363.89 : 15,545.72 = 6,205.06 : x
  2. Step 2: Convert to fraction form
    10,363.89/15,545.72 = 6,205.06/x
  3. Step 3: Cross multiply
    10,363.89x = 15,545.72 × 6,205.06
  4. Step 4: Simplify right side
    10,363.89x = 96,462,125.34
  5. Step 5: Solve for x
    x = 96,462,125.34/10,363.89
  6. Step 6: Final answer
    x = 9,307.52

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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.