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Finding the Fourth Proportional to 10,584.16, 14,424.08 and 10,545.28

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Solution

The fourth proportional to 10,584.16, 14,424.08 and 10,545.28 is: 14,371.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.16 : 14,424.08 = 10,545.28 : x
  2. Step 2: Convert to fraction form
    10,584.16/14,424.08 = 10,545.28/x
  3. Step 3: Cross multiply
    10,584.16x = 14,424.08 × 10,545.28
  4. Step 4: Simplify right side
    10,584.16x = 152,105,962.34
  5. Step 5: Solve for x
    x = 152,105,962.34/10,584.16
  6. Step 6: Final answer
    x = 14,371.09

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.