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Finding the Fourth Proportional to 10,545.57, 14,552.97 and 5,830.14

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Solution

The fourth proportional to 10,545.57, 14,552.97 and 5,830.14 is: 8,045.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,545.57 : 14,552.97 = 5,830.14 : x
  2. Step 2: Convert to fraction form
    10,545.57/14,552.97 = 5,830.14/x
  3. Step 3: Cross multiply
    10,545.57x = 14,552.97 × 5,830.14
  4. Step 4: Simplify right side
    10,545.57x = 84,845,852.52
  5. Step 5: Solve for x
    x = 84,845,852.52/10,545.57
  6. Step 6: Final answer
    x = 8,045.64

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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.